How to Find GCF of 136/70, 616/1322?

GCF of 136/70, 616/1322

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, 616/1322 i.e 8/46270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 136/70, 616/1322.

Enter two or more fractions separated by "commas"

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

What is the GCF of 136/70,616/1322?

Given fractions are 136/70,616/1322

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 136/70,616/1322, numerators are 136,616

Denominators are 70,1322

The GCF of 136,616 is 8 .

LCM of 70,1322 is 46270.

The greatest common factor of 136/70,616/1322 = [GCF of 136,616]/[LCM of 70,1322]= 8/46270

Therefore, the GCF of 136/70,616/1322 is 8/46270.

Greatest Common Factor of 136,616

To find the highest common factor of 136,616, 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 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

The HCF of 136,616 is 8.

Lets's calculate GCF of 136,616

Greatest Common Factor (GCF) of 136,616 By Common Division

2	136, 616
2	68, 308
2	34, 154
	17, 77

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 136,616 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 616

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 136,616 . The biggest common factor number is the GCF number.
So the greatest common factor 136,616 is 8.

Lets's calculate LCM of 70,1322

Lowest Common Multiple of 70,1322 using Common Division

2	70, 1322
	35, 661

∴ So the LCM of the given numbers is 2 x 35 x 661 = 46270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/46270

Therefore, the GCF of Fractions 136/70,616/1322 is 8/46270

Least Common Multiple of 70,1322 with GCF Formula

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

We need to calculate greatest common factor of 70,1322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,1322) = 2

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

GCF(70,1322) x common factors =2 x 1 = 2

LCM(70,1322) = ( 70 × 1322 ) / 2

LCM(70,1322) = 92540 / 2

LCM(70,1322) = 46270

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FAQs on GCF of Fractions of 136/70, 616/1322

1. What is the HCF of 136,616?

The HCF of 136,616 is 8

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, 616/1322?

Answer: GCF of Numerators as per given numbers 136/70, 616/1322 is

GCF of Numerators i.e. for 136,616 is 8

LCM of denominators i.e. for 70,1322 is 46270.

Thus, GCF of Fractions is 8/46270.Finally, GCF of Fractions for 136/70, 616/1322 is 8/46270.