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GCF of 107/38, 350/1338

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 107/38, 350/1338 i.e 1/25422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 107/38, 350/1338.

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 107/38,350/1338?

Given fractions are 107/38,350/1338

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 107/38,350/1338, numerators are 107,350

Denominators are 38,1338

The GCF of 107,350 is 1 .

LCM of 38,1338 is 25422.

The greatest common factor of 107/38,350/1338 = [GCF of 107,350]/[LCM of 38,1338]= 1/25422

Therefore, the GCF of 107/38,350/1338 is 1/25422.

Greatest Common Factor of 107,350

To find the highest common factor of 107,350, we have to find the factors of both numbers and list the highest common factor.

The factors of 107 are 1, 107

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The HCF of 107,350 is 1.

Lets's calculate GCF of 107,350

Greatest Common Factor (GCF) of 107,350 By Common Division

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

Greatest Common Factor of 107,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,350 By Matching Biggest Common Factor Method

Now, list down the factors of 107

:

1,107

Now, list down the factors of 350

:

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 107,350 . The biggest common factor number is the GCF number.
So the greatest common factor 107,350 is 1.

Lets's calculate LCM of 38,1338

Lowest Common Multiple of 38,1338 using Common Division

2 38, 1338
19, 669

∴ So the LCM of the given numbers is 2 x 19 x 669 = 25422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25422

Therefore, the GCF of Fractions 107/38,350/1338 is 1/25422

Least Common Multiple of 38,1338 with GCF Formula

Least Common Multiple of 38,1338 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 38,1338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,1338) = 2

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

GCF(38,1338) x common factors =2 x 1 = 2

LCM(38,1338) = ( 38 × 1338 ) / 2

LCM(38,1338) = 50844 / 2

LCM(38,1338) = 25422


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FAQs on GCF of Fractions of 107/38, 350/1338

1. What is the HCF of 107,350?

The HCF of 107,350 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 107/38, 350/1338?

Answer: GCF of Numerators as per given numbers 107/38, 350/1338 is

GCF of Numerators i.e. for 107,350 is 1

LCM of denominators i.e. for 38,1338 is 25422.

Thus, GCF of Fractions is 1/25422.Finally, GCF of Fractions for 107/38, 350/1338 is 1/25422.