How to Find GCF of 8869/755, 6135/932?

GCF of 8869/755, 6135/932

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 8869/755, 6135/932 i.e 1/703660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8869/755, 6135/932.

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 8869/755,6135/932?

Given fractions are 8869/755,6135/932

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 8869/755,6135/932, numerators are 8869,6135

Denominators are 755,932

The GCF of 8869,6135 is 1 .

LCM of 755,932 is 703660.

The greatest common factor of 8869/755,6135/932 = [GCF of 8869,6135]/[LCM of 755,932]= 1/703660

Therefore, the GCF of 8869/755,6135/932 is 1/703660.

Greatest Common Factor of 8869,6135

To find the highest common factor of 8869,6135, we have to find the factors of both numbers and list the highest common factor.

The factors of 8869 are 1, 7, 49, 181, 1267, 8869

The factors of 6135 are 1, 3, 5, 15, 409, 1227, 2045, 6135

The HCF of 8869,6135 is 1.

Lets's calculate GCF of 8869,6135

Greatest Common Factor (GCF) of 8869,6135 By Common Division

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

Greatest Common Factor of 8869,6135 By Matching Biggest Common Factor Method

Now, list down the factors of 8869

1,7,49,181,1267,8869

Now, list down the factors of 6135

1,3,5,15,409,1227,2045,6135

Greatest Common Factor

We found the factors 8869,6135 . The biggest common factor number is the GCF number.
So the greatest common factor 8869,6135 is 1.

Lets's calculate LCM of 755,932

Lowest Common Multiple of 755,932 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 703660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703660

Therefore, the GCF of Fractions 8869/755,6135/932 is 1/703660

Least Common Multiple of 755,932 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 755,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,932) = 1

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

GCF(755,932) x common factors =1 x 1 = 1

LCM(755,932) = ( 755 × 932 ) / 1

LCM(755,932) = 703660 / 1

LCM(755,932) = 703660

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FAQs on GCF of Fractions of 8869/755, 6135/932

1. What is the HCF of 8869,6135?

The HCF of 8869,6135 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 8869/755, 6135/932?

Answer: GCF of Numerators as per given numbers 8869/755, 6135/932 is

GCF of Numerators i.e. for 8869,6135 is 1

LCM of denominators i.e. for 755,932 is 703660.

Thus, GCF of Fractions is 1/703660.Finally, GCF of Fractions for 8869/755, 6135/932 is 1/703660.