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 365/780, 9467/169

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 365/780, 9467/169 i.e 1/10140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 365/780, 9467/169.

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 365/780,9467/169?

Given fractions are 365/780,9467/169

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 365/780,9467/169, numerators are 365,9467

Denominators are 780,169

The GCF of 365,9467 is 1 .

LCM of 780,169 is 10140.

The greatest common factor of 365/780,9467/169 = [GCF of 365,9467]/[LCM of 780,169]= 1/10140

Therefore, the GCF of 365/780,9467/169 is 1/10140.

Greatest Common Factor of 365,9467

To find the highest common factor of 365,9467, we have to find the factors of both numbers and list the highest common factor.

The factors of 365 are 1, 5, 73, 365

The factors of 9467 are 1, 9467

The HCF of 365,9467 is 1.

Lets's calculate GCF of 365,9467

Greatest Common Factor (GCF) of 365,9467 By Common Division

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

Greatest Common Factor of 365,9467 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,9467 By Matching Biggest Common Factor Method

Now, list down the factors of 365

:

1,5,73,365

Now, list down the factors of 9467

:

1,9467

Greatest Common Factor

We found the factors 365,9467 . The biggest common factor number is the GCF number.
So the greatest common factor 365,9467 is 1.

Lets's calculate LCM of 780,169

Lowest Common Multiple of 780,169 using Common Division

13 780, 169
60, 13

∴ So the LCM of the given numbers is 13 x 60 x 13 = 10140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10140

Therefore, the GCF of Fractions 365/780,9467/169 is 1/10140

Least Common Multiple of 780,169 with GCF Formula

Least Common Multiple of 780,169 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 780,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,169) = 13

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

GCF(780,169) x common factors =13 x 1 = 13

LCM(780,169) = ( 780 × 169 ) / 13

LCM(780,169) = 131820 / 13

LCM(780,169) = 10140


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 365/780, 9467/169

1. What is the HCF of 365,9467?

The HCF of 365,9467 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 365/780, 9467/169?

Answer: GCF of Numerators as per given numbers 365/780, 9467/169 is

GCF of Numerators i.e. for 365,9467 is 1

LCM of denominators i.e. for 780,169 is 10140.

Thus, GCF of Fractions is 1/10140.Finally, GCF of Fractions for 365/780, 9467/169 is 1/10140.