How to Find GCF of 536/849, 616/757?

GCF of 536/849, 616/757

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 536/849, 616/757 i.e 8/642693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/849, 616/757.

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 536/849,616/757?

Given fractions are 536/849,616/757

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 536/849,616/757, numerators are 536,616

Denominators are 849,757

The GCF of 536,616 is 8 .

LCM of 849,757 is 642693.

The greatest common factor of 536/849,616/757 = [GCF of 536,616]/[LCM of 849,757]= 8/642693

Therefore, the GCF of 536/849,616/757 is 8/642693.

Greatest Common Factor of 536,616

To find the highest common factor of 536,616, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

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

The HCF of 536,616 is 8.

Lets's calculate GCF of 536,616

Greatest Common Factor (GCF) of 536,616 By Common Division

2	536, 616
2	268, 308
2	134, 154
	67, 77

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

Greatest Common Factor of 536,616 By Matching Biggest Common Factor Method

Now, list down the factors of 536

1,2,4,8,67,134,268,536

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 536,616 . The biggest common factor number is the GCF number.
So the greatest common factor 536,616 is 8.

Lets's calculate LCM of 849,757

Lowest Common Multiple of 849,757 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 642693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/642693

Therefore, the GCF of Fractions 536/849,616/757 is 8/642693

Least Common Multiple of 849,757 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 849,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,757) = 1

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

GCF(849,757) x common factors =1 x 1 = 1

LCM(849,757) = ( 849 × 757 ) / 1

LCM(849,757) = 642693 / 1

LCM(849,757) = 642693

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FAQs on GCF of Fractions of 536/849, 616/757

1. What is the HCF of 536,616?

The HCF of 536,616 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 536/849, 616/757?

Answer: GCF of Numerators as per given numbers 536/849, 616/757 is

GCF of Numerators i.e. for 536,616 is 8

LCM of denominators i.e. for 849,757 is 642693.

Thus, GCF of Fractions is 8/642693.Finally, GCF of Fractions for 536/849, 616/757 is 8/642693.