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GCF of 7671/916, 1879/1788

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 7671/916, 1879/1788 i.e 1/409452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7671/916, 1879/1788.

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 7671/916,1879/1788?

Given fractions are 7671/916,1879/1788

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 7671/916,1879/1788, numerators are 7671,1879

Denominators are 916,1788

The GCF of 7671,1879 is 1 .

LCM of 916,1788 is 409452.

The greatest common factor of 7671/916,1879/1788 = [GCF of 7671,1879]/[LCM of 916,1788]= 1/409452

Therefore, the GCF of 7671/916,1879/1788 is 1/409452.

Greatest Common Factor of 7671,1879

To find the highest common factor of 7671,1879, we have to find the factors of both numbers and list the highest common factor.

The factors of 7671 are 1, 3, 2557, 7671

The factors of 1879 are 1, 1879

The HCF of 7671,1879 is 1.

Lets's calculate GCF of 7671,1879

Greatest Common Factor (GCF) of 7671,1879 By Common Division

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

Greatest Common Factor of 7671,1879 By Matching Biggest Common Factor Method

Greatest Common Factor of 7671,1879 By Matching Biggest Common Factor Method

Now, list down the factors of 7671

:

1,3,2557,7671

Now, list down the factors of 1879

:

1,1879

Greatest Common Factor

We found the factors 7671,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 7671,1879 is 1.

Lets's calculate LCM of 916,1788

Lowest Common Multiple of 916,1788 using Common Division

2 916, 1788
2 458, 894
229, 447

∴ So the LCM of the given numbers is 2 x 2 x 229 x 447 = 409452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409452

Therefore, the GCF of Fractions 7671/916,1879/1788 is 1/409452

Least Common Multiple of 916,1788 with GCF Formula

Least Common Multiple of 916,1788 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 916,1788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,1788) = 4

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

GCF(916,1788) x common factors =4 x 1 = 4

LCM(916,1788) = ( 916 × 1788 ) / 4

LCM(916,1788) = 1637808 / 4

LCM(916,1788) = 409452


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7671/916, 1879/1788

1. What is the HCF of 7671,1879?

The HCF of 7671,1879 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 7671/916, 1879/1788?

Answer: GCF of Numerators as per given numbers 7671/916, 1879/1788 is

GCF of Numerators i.e. for 7671,1879 is 1

LCM of denominators i.e. for 916,1788 is 409452.

Thus, GCF of Fractions is 1/409452.Finally, GCF of Fractions for 7671/916, 1879/1788 is 1/409452.