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GCF of 136/70, 107/1974

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 136/70, 107/1974 i.e 1/9870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 136/70, 107/1974.

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 136/70,107/1974?

Given fractions are 136/70,107/1974

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 136/70,107/1974, numerators are 136,107

Denominators are 70,1974

The GCF of 136,107 is 1 .

LCM of 70,1974 is 9870.

The greatest common factor of 136/70,107/1974 = [GCF of 136,107]/[LCM of 70,1974]= 1/9870

Therefore, the GCF of 136/70,107/1974 is 1/9870.

Greatest Common Factor of 136,107

To find the highest common factor of 136,107, we have to find the factors of both numbers and list the highest common factor.

The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136

The factors of 107 are 1, 107

The HCF of 136,107 is 1.

Lets's calculate GCF of 136,107

Greatest Common Factor (GCF) of 136,107 By Common Division

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

Greatest Common Factor of 136,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,107 By Matching Biggest Common Factor Method

Now, list down the factors of 136

:

1,2,4,8,17,34,68,136

Now, list down the factors of 107

:

1,107

Greatest Common Factor

We found the factors 136,107 . The biggest common factor number is the GCF number.
So the greatest common factor 136,107 is 1.

Lets's calculate LCM of 70,1974

Lowest Common Multiple of 70,1974 using Common Division

2 70, 1974
7 35, 987
5, 141

∴ So the LCM of the given numbers is 2 x 7 x 5 x 141 = 9870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9870

Therefore, the GCF of Fractions 136/70,107/1974 is 1/9870

Least Common Multiple of 70,1974 with GCF Formula

Least Common Multiple of 70,1974 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 70,1974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,1974) = 14

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

GCF(70,1974) x common factors =14 x 1 = 14

LCM(70,1974) = ( 70 × 1974 ) / 14

LCM(70,1974) = 138180 / 14

LCM(70,1974) = 9870


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FAQs on GCF of Fractions of 136/70, 107/1974

1. What is the HCF of 136,107?

The HCF of 136,107 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 136/70, 107/1974?

Answer: GCF of Numerators as per given numbers 136/70, 107/1974 is

GCF of Numerators i.e. for 136,107 is 1

LCM of denominators i.e. for 70,1974 is 9870.

Thus, GCF of Fractions is 1/9870.Finally, GCF of Fractions for 136/70, 107/1974 is 1/9870.