How to Find GCF of 4696/689, 8816/7926?

GCF of 4696/689, 8816/7926

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 4696/689, 8816/7926 i.e 8/5461014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4696/689, 8816/7926.

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 4696/689,8816/7926?

Given fractions are 4696/689,8816/7926

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 4696/689,8816/7926, numerators are 4696,8816

Denominators are 689,7926

The GCF of 4696,8816 is 8 .

LCM of 689,7926 is 5461014.

The greatest common factor of 4696/689,8816/7926 = [GCF of 4696,8816]/[LCM of 689,7926]= 8/5461014

Therefore, the GCF of 4696/689,8816/7926 is 8/5461014.

Greatest Common Factor of 4696,8816

To find the highest common factor of 4696,8816, 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 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816

The HCF of 4696,8816 is 8.

Lets's calculate GCF of 4696,8816

Greatest Common Factor (GCF) of 4696,8816 By Common Division

2	4696, 8816
2	2348, 4408
2	1174, 2204
	587, 1102

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

Greatest Common Factor of 4696,8816 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 8816

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors 4696,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,8816 is 8.

Lets's calculate LCM of 689,7926

Lowest Common Multiple of 689,7926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5461014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5461014

Therefore, the GCF of Fractions 4696/689,8816/7926 is 8/5461014

Least Common Multiple of 689,7926 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 689,7926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,7926) = 1

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

GCF(689,7926) x common factors =1 x 1 = 1

LCM(689,7926) = ( 689 × 7926 ) / 1

LCM(689,7926) = 5461014 / 1

LCM(689,7926) = 5461014

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FAQs on GCF of Fractions of 4696/689, 8816/7926

1. What is the HCF of 4696,8816?

The HCF of 4696,8816 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 4696/689, 8816/7926?

Answer: GCF of Numerators as per given numbers 4696/689, 8816/7926 is

GCF of Numerators i.e. for 4696,8816 is 8

LCM of denominators i.e. for 689,7926 is 5461014.

Thus, GCF of Fractions is 8/5461014.Finally, GCF of Fractions for 4696/689, 8816/7926 is 8/5461014.