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GCF of 342/44, 380/995

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 342/44, 380/995 i.e 38/43780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/44, 380/995.

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 342/44,380/995?

Given fractions are 342/44,380/995

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 342/44,380/995, numerators are 342,380

Denominators are 44,995

The GCF of 342,380 is 38 .

LCM of 44,995 is 43780.

The greatest common factor of 342/44,380/995 = [GCF of 342,380]/[LCM of 44,995]= 38/43780

Therefore, the GCF of 342/44,380/995 is 38/43780.

Greatest Common Factor of 342,380

To find the highest common factor of 342,380, we have to find the factors of both numbers and list the highest common factor.

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

The HCF of 342,380 is 38.

Lets's calculate GCF of 342,380

Greatest Common Factor (GCF) of 342,380 By Common Division

2 342, 380
19 171, 190
9, 10

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 342,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,380 By Matching Biggest Common Factor Method

Now, list down the factors of 342

:

1,2,3,6,9,18,19,38,57,114,171,342

Now, list down the factors of 380

:

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

Greatest Common Factor

We found the factors 342,380 . The biggest common factor number is the GCF number.
So the greatest common factor 342,380 is 38.

Lets's calculate LCM of 44,995

Lowest Common Multiple of 44,995 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 43780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/43780

Therefore, the GCF of Fractions 342/44,380/995 is 38/43780

Least Common Multiple of 44,995 with GCF Formula

Least Common Multiple of 44,995 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 44,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,995) = 1

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

GCF(44,995) x common factors =1 x 1 = 1

LCM(44,995) = ( 44 × 995 ) / 1

LCM(44,995) = 43780 / 1

LCM(44,995) = 43780


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FAQs on GCF of Fractions of 342/44, 380/995

1. What is the HCF of 342,380?

The HCF of 342,380 is 38

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 342/44, 380/995?

Answer: GCF of Numerators as per given numbers 342/44, 380/995 is

GCF of Numerators i.e. for 342,380 is 38

LCM of denominators i.e. for 44,995 is 43780.

Thus, GCF of Fractions is 38/43780.Finally, GCF of Fractions for 342/44, 380/995 is 38/43780.