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GCF of 1877/791, 1438/8843

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 1877/791, 1438/8843 i.e 1/6994813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1877/791, 1438/8843.

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 1877/791,1438/8843?

Given fractions are 1877/791,1438/8843

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 1877/791,1438/8843, numerators are 1877,1438

Denominators are 791,8843

The GCF of 1877,1438 is 1 .

LCM of 791,8843 is 6994813.

The greatest common factor of 1877/791,1438/8843 = [GCF of 1877,1438]/[LCM of 791,8843]= 1/6994813

Therefore, the GCF of 1877/791,1438/8843 is 1/6994813.

Greatest Common Factor of 1877,1438

To find the highest common factor of 1877,1438, we have to find the factors of both numbers and list the highest common factor.

The factors of 1877 are 1, 1877

The factors of 1438 are 1, 2, 719, 1438

The HCF of 1877,1438 is 1.

Lets's calculate GCF of 1877,1438

Greatest Common Factor (GCF) of 1877,1438 By Common Division

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

Greatest Common Factor of 1877,1438 By Matching Biggest Common Factor Method

Greatest Common Factor of 1877,1438 By Matching Biggest Common Factor Method

Now, list down the factors of 1877

:

1,1877

Now, list down the factors of 1438

:

1,2,719,1438

Greatest Common Factor

We found the factors 1877,1438 . The biggest common factor number is the GCF number.
So the greatest common factor 1877,1438 is 1.

Lets's calculate LCM of 791,8843

Lowest Common Multiple of 791,8843 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6994813

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6994813

Therefore, the GCF of Fractions 1877/791,1438/8843 is 1/6994813

Least Common Multiple of 791,8843 with GCF Formula

Least Common Multiple of 791,8843 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 791,8843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,8843) = 1

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

GCF(791,8843) x common factors =1 x 1 = 1

LCM(791,8843) = ( 791 × 8843 ) / 1

LCM(791,8843) = 6994813 / 1

LCM(791,8843) = 6994813


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FAQs on GCF of Fractions of 1877/791, 1438/8843

1. What is the HCF of 1877,1438?

The HCF of 1877,1438 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 1877/791, 1438/8843?

Answer: GCF of Numerators as per given numbers 1877/791, 1438/8843 is

GCF of Numerators i.e. for 1877,1438 is 1

LCM of denominators i.e. for 791,8843 is 6994813.

Thus, GCF of Fractions is 1/6994813.Finally, GCF of Fractions for 1877/791, 1438/8843 is 1/6994813.