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GCF of 7570/861, 9869/755

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 7570/861, 9869/755 i.e 1/650055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7570/861, 9869/755.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7570/861,9869/755?

Given fractions are 7570/861,9869/755

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 7570/861,9869/755, numerators are 7570,9869

Denominators are 861,755

The GCF of 7570,9869 is 1 .

LCM of 861,755 is 650055.

The greatest common factor of 7570/861,9869/755 = [GCF of 7570,9869]/[LCM of 861,755]= 1/650055

Therefore, the GCF of 7570/861,9869/755 is 1/650055.

Greatest Common Factor of 7570,9869

To find the highest common factor of 7570,9869, we have to find the factors of both numbers and list the highest common factor.

The factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570

The factors of 9869 are 1, 71, 139, 9869

The HCF of 7570,9869 is 1.

Lets's calculate GCF of 7570,9869

Greatest Common Factor (GCF) of 7570,9869 By Common Division

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

Greatest Common Factor of 7570,9869 By Matching Biggest Common Factor Method

Greatest Common Factor of 7570,9869 By Matching Biggest Common Factor Method

Now, list down the factors of 7570

:

1,2,5,10,757,1514,3785,7570

Now, list down the factors of 9869

:

1,71,139,9869

Greatest Common Factor

We found the factors 7570,9869 . The biggest common factor number is the GCF number.
So the greatest common factor 7570,9869 is 1.


Lets's calculate LCM of 861,755

Lowest Common Multiple of 861,755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 650055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/650055

Therefore, the GCF of Fractions 7570/861,9869/755 is 1/650055

Least Common Multiple of 861,755 with GCF Formula

Least Common Multiple of 861,755 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 861,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,755) = 1

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

GCF(861,755) x common factors =1 x 1 = 1

LCM(861,755) = ( 861 × 755 ) / 1

LCM(861,755) = 650055 / 1

LCM(861,755) = 650055


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7570/861, 9869/755

1. What is the HCF of 7570,9869?

The HCF of 7570,9869 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 7570/861, 9869/755?

Answer: GCF of Numerators as per given numbers 7570/861, 9869/755 is

GCF of Numerators i.e. for 7570,9869 is 1

LCM of denominators i.e. for 861,755 is 650055.

Thus, GCF of Fractions is 1/650055.Finally, GCF of Fractions for 7570/861, 9869/755 is 1/650055.