How to Find GCF of 3847/983, 8577/8072?

GCF of 3847/983, 8577/8072

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 3847/983, 8577/8072 i.e 1/7934776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3847/983, 8577/8072.

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 3847/983,8577/8072?

Given fractions are 3847/983,8577/8072

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 3847/983,8577/8072, numerators are 3847,8577

Denominators are 983,8072

The GCF of 3847,8577 is 1 .

LCM of 983,8072 is 7934776.

The greatest common factor of 3847/983,8577/8072 = [GCF of 3847,8577]/[LCM of 983,8072]= 1/7934776

Therefore, the GCF of 3847/983,8577/8072 is 1/7934776.

Greatest Common Factor of 3847,8577

To find the highest common factor of 3847,8577, we have to find the factors of both numbers and list the highest common factor.

The factors of 3847 are 1, 3847

The factors of 8577 are 1, 3, 9, 953, 2859, 8577

The HCF of 3847,8577 is 1.

Lets's calculate GCF of 3847,8577

Greatest Common Factor (GCF) of 3847,8577 By Common Division

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

Greatest Common Factor of 3847,8577 By Matching Biggest Common Factor Method

Now, list down the factors of 3847

1,3847

Now, list down the factors of 8577

1,3,9,953,2859,8577

Greatest Common Factor

We found the factors 3847,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 3847,8577 is 1.

Lets's calculate LCM of 983,8072

Lowest Common Multiple of 983,8072 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7934776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7934776

Therefore, the GCF of Fractions 3847/983,8577/8072 is 1/7934776

Least Common Multiple of 983,8072 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 983,8072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,8072) = 1

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

GCF(983,8072) x common factors =1 x 1 = 1

LCM(983,8072) = ( 983 × 8072 ) / 1

LCM(983,8072) = 7934776 / 1

LCM(983,8072) = 7934776

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FAQs on GCF of Fractions of 3847/983, 8577/8072

1. What is the HCF of 3847,8577?

The HCF of 3847,8577 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 3847/983, 8577/8072?

Answer: GCF of Numerators as per given numbers 3847/983, 8577/8072 is

GCF of Numerators i.e. for 3847,8577 is 1

LCM of denominators i.e. for 983,8072 is 7934776.

Thus, GCF of Fractions is 1/7934776.Finally, GCF of Fractions for 3847/983, 8577/8072 is 1/7934776.