How to Find GCF of 4696/617, 2132/714?

GCF of 4696/617, 2132/714

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 4696/617, 2132/714 i.e 4/440538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4696/617, 2132/714.

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 4696/617,2132/714?

Given fractions are 4696/617,2132/714

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 4696/617,2132/714, numerators are 4696,2132

Denominators are 617,714

The GCF of 4696,2132 is 4 .

LCM of 617,714 is 440538.

The greatest common factor of 4696/617,2132/714 = [GCF of 4696,2132]/[LCM of 617,714]= 4/440538

Therefore, the GCF of 4696/617,2132/714 is 4/440538.

Greatest Common Factor of 4696,2132

To find the highest common factor of 4696,2132, we have to find the factors of both numbers and list the highest common factor.

The factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696

The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132

The HCF of 4696,2132 is 4.

Lets's calculate GCF of 4696,2132

Greatest Common Factor (GCF) of 4696,2132 By Common Division

2	4696, 2132
2	2348, 1066
	1174, 533

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4696,2132 By Matching Biggest Common Factor Method

Now, list down the factors of 4696

1,2,4,8,587,1174,2348,4696

Now, list down the factors of 2132

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 4696,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,2132 is 4.

Lets's calculate LCM of 617,714

Lowest Common Multiple of 617,714 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 440538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/440538

Therefore, the GCF of Fractions 4696/617,2132/714 is 4/440538

Least Common Multiple of 617,714 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 617,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,714) = 1

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

GCF(617,714) x common factors =1 x 1 = 1

LCM(617,714) = ( 617 × 714 ) / 1

LCM(617,714) = 440538 / 1

LCM(617,714) = 440538

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FAQs on GCF of Fractions of 4696/617, 2132/714

1. What is the HCF of 4696,2132?

The HCF of 4696,2132 is 4

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 4696/617, 2132/714?

Answer: GCF of Numerators as per given numbers 4696/617, 2132/714 is

GCF of Numerators i.e. for 4696,2132 is 4

LCM of denominators i.e. for 617,714 is 440538.

Thus, GCF of Fractions is 4/440538.Finally, GCF of Fractions for 4696/617, 2132/714 is 4/440538.