How to Find GCF of 2027/916, 7954/8165?

GCF of 2027/916, 7954/8165

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 2027/916, 7954/8165 i.e 1/7479140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2027/916, 7954/8165.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2027/916,7954/8165?

Given fractions are 2027/916,7954/8165

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 2027/916,7954/8165, numerators are 2027,7954

Denominators are 916,8165

The GCF of 2027,7954 is 1 .

LCM of 916,8165 is 7479140.

The greatest common factor of 2027/916,7954/8165 = [GCF of 2027,7954]/[LCM of 916,8165]= 1/7479140

Therefore, the GCF of 2027/916,7954/8165 is 1/7479140.

Greatest Common Factor of 2027,7954

To find the highest common factor of 2027,7954, we have to find the factors of both numbers and list the highest common factor.

The factors of 2027 are 1, 2027

The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954

The HCF of 2027,7954 is 1.

Lets's calculate GCF of 2027,7954

Greatest Common Factor (GCF) of 2027,7954 By Common Division

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

Greatest Common Factor of 2027,7954 By Matching Biggest Common Factor Method

Now, list down the factors of 2027

1,2027

Now, list down the factors of 7954

1,2,41,82,97,194,3977,7954

Greatest Common Factor

We found the factors 2027,7954 . The biggest common factor number is the GCF number.
So the greatest common factor 2027,7954 is 1.

Lets's calculate LCM of 916,8165

Lowest Common Multiple of 916,8165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7479140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7479140

Therefore, the GCF of Fractions 2027/916,7954/8165 is 1/7479140

Least Common Multiple of 916,8165 with GCF Formula

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

We need to calculate greatest common factor of 916,8165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,8165) = 1

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

GCF(916,8165) x common factors =1 x 1 = 1

LCM(916,8165) = ( 916 × 8165 ) / 1

LCM(916,8165) = 7479140 / 1

LCM(916,8165) = 7479140

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FAQs on GCF of Fractions of 2027/916, 7954/8165

1. What is the HCF of 2027,7954?

The HCF of 2027,7954 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 2027/916, 7954/8165?

Answer: GCF of Numerators as per given numbers 2027/916, 7954/8165 is

GCF of Numerators i.e. for 2027,7954 is 1

LCM of denominators i.e. for 916,8165 is 7479140.

Thus, GCF of Fractions is 1/7479140.Finally, GCF of Fractions for 2027/916, 7954/8165 is 1/7479140.