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GCF of 3577/430, 8971/7055

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 3577/430, 8971/7055 i.e 1/606730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3577/430, 8971/7055.

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 3577/430,8971/7055?

Given fractions are 3577/430,8971/7055

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 3577/430,8971/7055, numerators are 3577,8971

Denominators are 430,7055

The GCF of 3577,8971 is 1 .

LCM of 430,7055 is 606730.

The greatest common factor of 3577/430,8971/7055 = [GCF of 3577,8971]/[LCM of 430,7055]= 1/606730

Therefore, the GCF of 3577/430,8971/7055 is 1/606730.

Greatest Common Factor of 3577,8971

To find the highest common factor of 3577,8971, we have to find the factors of both numbers and list the highest common factor.

The factors of 3577 are 1, 7, 49, 73, 511, 3577

The factors of 8971 are 1, 8971

The HCF of 3577,8971 is 1.

Lets's calculate GCF of 3577,8971

Greatest Common Factor (GCF) of 3577,8971 By Common Division

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

Greatest Common Factor of 3577,8971 By Matching Biggest Common Factor Method

Greatest Common Factor of 3577,8971 By Matching Biggest Common Factor Method

Now, list down the factors of 3577

:

1,7,49,73,511,3577

Now, list down the factors of 8971

:

1,8971

Greatest Common Factor

We found the factors 3577,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 3577,8971 is 1.

Lets's calculate LCM of 430,7055

Lowest Common Multiple of 430,7055 using Common Division

5 430, 7055
86, 1411

∴ So the LCM of the given numbers is 5 x 86 x 1411 = 606730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606730

Therefore, the GCF of Fractions 3577/430,8971/7055 is 1/606730

Least Common Multiple of 430,7055 with GCF Formula

Least Common Multiple of 430,7055 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 430,7055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,7055) = 5

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

GCF(430,7055) x common factors =5 x 1 = 5

LCM(430,7055) = ( 430 × 7055 ) / 5

LCM(430,7055) = 3033650 / 5

LCM(430,7055) = 606730


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FAQs on GCF of Fractions of 3577/430, 8971/7055

1. What is the HCF of 3577,8971?

The HCF of 3577,8971 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 3577/430, 8971/7055?

Answer: GCF of Numerators as per given numbers 3577/430, 8971/7055 is

GCF of Numerators i.e. for 3577,8971 is 1

LCM of denominators i.e. for 430,7055 is 606730.

Thus, GCF of Fractions is 1/606730.Finally, GCF of Fractions for 3577/430, 8971/7055 is 1/606730.