How to Find GCF of 1873/138, 8917/7565?

GCF of 1873/138, 8917/7565

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 1873/138, 8917/7565 i.e 1/1043970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1873/138, 8917/7565.

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 1873/138,8917/7565?

Given fractions are 1873/138,8917/7565

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 1873/138,8917/7565, numerators are 1873,8917

Denominators are 138,7565

The GCF of 1873,8917 is 1 .

LCM of 138,7565 is 1043970.

The greatest common factor of 1873/138,8917/7565 = [GCF of 1873,8917]/[LCM of 138,7565]= 1/1043970

Therefore, the GCF of 1873/138,8917/7565 is 1/1043970.

Greatest Common Factor of 1873,8917

To find the highest common factor of 1873,8917, we have to find the factors of both numbers and list the highest common factor.

The factors of 1873 are 1, 1873

The factors of 8917 are 1, 37, 241, 8917

The HCF of 1873,8917 is 1.

Lets's calculate GCF of 1873,8917

Greatest Common Factor (GCF) of 1873,8917 By Common Division

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

Greatest Common Factor of 1873,8917 By Matching Biggest Common Factor Method

Now, list down the factors of 1873

1,1873

Now, list down the factors of 8917

1,37,241,8917

Greatest Common Factor

We found the factors 1873,8917 . The biggest common factor number is the GCF number.
So the greatest common factor 1873,8917 is 1.

Lets's calculate LCM of 138,7565

Lowest Common Multiple of 138,7565 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1043970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1043970

Therefore, the GCF of Fractions 1873/138,8917/7565 is 1/1043970

Least Common Multiple of 138,7565 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 138,7565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,7565) = 1

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

GCF(138,7565) x common factors =1 x 1 = 1

LCM(138,7565) = ( 138 × 7565 ) / 1

LCM(138,7565) = 1043970 / 1

LCM(138,7565) = 1043970

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FAQs on GCF of Fractions of 1873/138, 8917/7565

1. What is the HCF of 1873,8917?

The HCF of 1873,8917 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 1873/138, 8917/7565?

Answer: GCF of Numerators as per given numbers 1873/138, 8917/7565 is

GCF of Numerators i.e. for 1873,8917 is 1

LCM of denominators i.e. for 138,7565 is 1043970.

Thus, GCF of Fractions is 1/1043970.Finally, GCF of Fractions for 1873/138, 8917/7565 is 1/1043970.