How to Find GCF of 4985/647, 1577/8221?

GCF of 4985/647, 1577/8221

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 4985/647, 1577/8221 i.e 1/5318987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4985/647, 1577/8221.

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 4985/647,1577/8221?

Given fractions are 4985/647,1577/8221

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 4985/647,1577/8221, numerators are 4985,1577

Denominators are 647,8221

The GCF of 4985,1577 is 1 .

LCM of 647,8221 is 5318987.

The greatest common factor of 4985/647,1577/8221 = [GCF of 4985,1577]/[LCM of 647,8221]= 1/5318987

Therefore, the GCF of 4985/647,1577/8221 is 1/5318987.

Greatest Common Factor of 4985,1577

To find the highest common factor of 4985,1577, we have to find the factors of both numbers and list the highest common factor.

The factors of 4985 are 1, 5, 997, 4985

The factors of 1577 are 1, 19, 83, 1577

The HCF of 4985,1577 is 1.

Lets's calculate GCF of 4985,1577

Greatest Common Factor (GCF) of 4985,1577 By Common Division

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

Greatest Common Factor of 4985,1577 By Matching Biggest Common Factor Method

Now, list down the factors of 4985

1,5,997,4985

Now, list down the factors of 1577

1,19,83,1577

Greatest Common Factor

We found the factors 4985,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 4985,1577 is 1.

Lets's calculate LCM of 647,8221

Lowest Common Multiple of 647,8221 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5318987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5318987

Therefore, the GCF of Fractions 4985/647,1577/8221 is 1/5318987

Least Common Multiple of 647,8221 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 647,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,8221) = 1

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

GCF(647,8221) x common factors =1 x 1 = 1

LCM(647,8221) = ( 647 × 8221 ) / 1

LCM(647,8221) = 5318987 / 1

LCM(647,8221) = 5318987

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FAQs on GCF of Fractions of 4985/647, 1577/8221

1. What is the HCF of 4985,1577?

The HCF of 4985,1577 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 4985/647, 1577/8221?

Answer: GCF of Numerators as per given numbers 4985/647, 1577/8221 is

GCF of Numerators i.e. for 4985,1577 is 1

LCM of denominators i.e. for 647,8221 is 5318987.

Thus, GCF of Fractions is 1/5318987.Finally, GCF of Fractions for 4985/647, 1577/8221 is 1/5318987.