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GCF of 8962/947, 3917/8884

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 8962/947, 3917/8884 i.e 1/8413148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8962/947, 3917/8884.

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 8962/947,3917/8884?

Given fractions are 8962/947,3917/8884

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 8962/947,3917/8884, numerators are 8962,3917

Denominators are 947,8884

The GCF of 8962,3917 is 1 .

LCM of 947,8884 is 8413148.

The greatest common factor of 8962/947,3917/8884 = [GCF of 8962,3917]/[LCM of 947,8884]= 1/8413148

Therefore, the GCF of 8962/947,3917/8884 is 1/8413148.

Greatest Common Factor of 8962,3917

To find the highest common factor of 8962,3917, we have to find the factors of both numbers and list the highest common factor.

The factors of 8962 are 1, 2, 4481, 8962

The factors of 3917 are 1, 3917

The HCF of 8962,3917 is 1.

Lets's calculate GCF of 8962,3917

Greatest Common Factor (GCF) of 8962,3917 By Common Division

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

Greatest Common Factor of 8962,3917 By Matching Biggest Common Factor Method

Greatest Common Factor of 8962,3917 By Matching Biggest Common Factor Method

Now, list down the factors of 8962

:

1,2,4481,8962

Now, list down the factors of 3917

:

1,3917

Greatest Common Factor

We found the factors 8962,3917 . The biggest common factor number is the GCF number.
So the greatest common factor 8962,3917 is 1.

Lets's calculate LCM of 947,8884

Lowest Common Multiple of 947,8884 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8413148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8413148

Therefore, the GCF of Fractions 8962/947,3917/8884 is 1/8413148

Least Common Multiple of 947,8884 with GCF Formula

Least Common Multiple of 947,8884 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 947,8884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,8884) = 1

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

GCF(947,8884) x common factors =1 x 1 = 1

LCM(947,8884) = ( 947 × 8884 ) / 1

LCM(947,8884) = 8413148 / 1

LCM(947,8884) = 8413148


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8962/947, 3917/8884

1. What is the HCF of 8962,3917?

The HCF of 8962,3917 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 8962/947, 3917/8884?

Answer: GCF of Numerators as per given numbers 8962/947, 3917/8884 is

GCF of Numerators i.e. for 8962,3917 is 1

LCM of denominators i.e. for 947,8884 is 8413148.

Thus, GCF of Fractions is 1/8413148.Finally, GCF of Fractions for 8962/947, 3917/8884 is 1/8413148.