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GCF of 30/119, 8695/9462

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 30/119, 8695/9462 i.e 5/1125978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/119, 8695/9462.

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 30/119,8695/9462?

Given fractions are 30/119,8695/9462

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 30/119,8695/9462, numerators are 30,8695

Denominators are 119,9462

The GCF of 30,8695 is 5 .

LCM of 119,9462 is 1125978.

The greatest common factor of 30/119,8695/9462 = [GCF of 30,8695]/[LCM of 119,9462]= 5/1125978

Therefore, the GCF of 30/119,8695/9462 is 5/1125978.

Greatest Common Factor of 30,8695

To find the highest common factor of 30,8695, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695

The HCF of 30,8695 is 5.

Lets's calculate GCF of 30,8695

Greatest Common Factor (GCF) of 30,8695 By Common Division

5 30, 8695
6, 1739

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 30,8695 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,8695 By Matching Biggest Common Factor Method

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Now, list down the factors of 8695

:

1,5,37,47,185,235,1739,8695

Greatest Common Factor

We found the factors 30,8695 . The biggest common factor number is the GCF number.
So the greatest common factor 30,8695 is 5.

Lets's calculate LCM of 119,9462

Lowest Common Multiple of 119,9462 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1125978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1125978

Therefore, the GCF of Fractions 30/119,8695/9462 is 5/1125978

Least Common Multiple of 119,9462 with GCF Formula

Least Common Multiple of 119,9462 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 119,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,9462) = 1

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

GCF(119,9462) x common factors =1 x 1 = 1

LCM(119,9462) = ( 119 × 9462 ) / 1

LCM(119,9462) = 1125978 / 1

LCM(119,9462) = 1125978


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FAQs on GCF of Fractions of 30/119, 8695/9462

1. What is the HCF of 30,8695?

The HCF of 30,8695 is 5

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 30/119, 8695/9462?

Answer: GCF of Numerators as per given numbers 30/119, 8695/9462 is

GCF of Numerators i.e. for 30,8695 is 5

LCM of denominators i.e. for 119,9462 is 1125978.

Thus, GCF of Fractions is 5/1125978.Finally, GCF of Fractions for 30/119, 8695/9462 is 5/1125978.