LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 380/360, 503/174

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 380/360, 503/174 i.e 1/10440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 380/360, 503/174.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 380/360,503/174?

Given fractions are 380/360,503/174

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 380/360,503/174, numerators are 380,503

Denominators are 360,174

The GCF of 380,503 is 1 .

LCM of 360,174 is 10440.

The greatest common factor of 380/360,503/174 = [GCF of 380,503]/[LCM of 360,174]= 1/10440

Therefore, the GCF of 380/360,503/174 is 1/10440.

Greatest Common Factor of 380,503

To find the highest common factor of 380,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The factors of 503 are 1, 503

The HCF of 380,503 is 1.

Lets's calculate GCF of 380,503

Greatest Common Factor (GCF) of 380,503 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 380,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,503 By Matching Biggest Common Factor Method

Now, list down the factors of 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Now, list down the factors of 503

:

1,503

Greatest Common Factor

We found the factors 380,503 . The biggest common factor number is the GCF number.
So the greatest common factor 380,503 is 1.

Lets's calculate LCM of 360,174

Lowest Common Multiple of 360,174 using Common Division

2 360, 174
3 180, 87
60, 29

∴ So the LCM of the given numbers is 2 x 3 x 60 x 29 = 10440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10440

Therefore, the GCF of Fractions 380/360,503/174 is 1/10440

Least Common Multiple of 360,174 with GCF Formula

Least Common Multiple of 360,174 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 360,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,174) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(360,174) x common factors =6 x 1 = 6

LCM(360,174) = ( 360 × 174 ) / 6

LCM(360,174) = 62640 / 6

LCM(360,174) = 10440


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 380/360, 503/174

1. What is the HCF of 380,503?

The HCF of 380,503 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 380/360, 503/174?

Answer: GCF of Numerators as per given numbers 380/360, 503/174 is

GCF of Numerators i.e. for 380,503 is 1

LCM of denominators i.e. for 360,174 is 10440.

Thus, GCF of Fractions is 1/10440.Finally, GCF of Fractions for 380/360, 503/174 is 1/10440.