How to Find GCF of 8769/696, 5320/7864?

GCF of 8769/696, 5320/7864

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 8769/696, 5320/7864 i.e 1/684168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8769/696, 5320/7864.

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 8769/696,5320/7864?

Given fractions are 8769/696,5320/7864

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 8769/696,5320/7864, numerators are 8769,5320

Denominators are 696,7864

The GCF of 8769,5320 is 1 .

LCM of 696,7864 is 684168.

The greatest common factor of 8769/696,5320/7864 = [GCF of 8769,5320]/[LCM of 696,7864]= 1/684168

Therefore, the GCF of 8769/696,5320/7864 is 1/684168.

Greatest Common Factor of 8769,5320

To find the highest common factor of 8769,5320, we have to find the factors of both numbers and list the highest common factor.

The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769

The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320

The HCF of 8769,5320 is 1.

Lets's calculate GCF of 8769,5320

Greatest Common Factor (GCF) of 8769,5320 By Common Division

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

Greatest Common Factor of 8769,5320 By Matching Biggest Common Factor Method

Now, list down the factors of 8769

1,3,37,79,111,237,2923,8769

Now, list down the factors of 5320

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors 8769,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,5320 is 1.

Lets's calculate LCM of 696,7864

Lowest Common Multiple of 696,7864 using Common Division

2	696, 7864
2	348, 3932
2	174, 1966
	87, 983

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 983 = 684168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684168

Therefore, the GCF of Fractions 8769/696,5320/7864 is 1/684168

Least Common Multiple of 696,7864 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 696,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,7864) = 8

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

GCF(696,7864) x common factors =8 x 1 = 8

LCM(696,7864) = ( 696 × 7864 ) / 8

LCM(696,7864) = 5473344 / 8

LCM(696,7864) = 684168

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8769/696, 5320/7864

1. What is the HCF of 8769,5320?

The HCF of 8769,5320 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 8769/696, 5320/7864?

Answer: GCF of Numerators as per given numbers 8769/696, 5320/7864 is

GCF of Numerators i.e. for 8769,5320 is 1

LCM of denominators i.e. for 696,7864 is 684168.

Thus, GCF of Fractions is 1/684168.Finally, GCF of Fractions for 8769/696, 5320/7864 is 1/684168.