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GCF of 245/955, 8701/3238

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 245/955, 8701/3238 i.e 7/3092290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/955, 8701/3238.

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 245/955,8701/3238?

Given fractions are 245/955,8701/3238

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 245/955,8701/3238, numerators are 245,8701

Denominators are 955,3238

The GCF of 245,8701 is 7 .

LCM of 955,3238 is 3092290.

The greatest common factor of 245/955,8701/3238 = [GCF of 245,8701]/[LCM of 955,3238]= 7/3092290

Therefore, the GCF of 245/955,8701/3238 is 7/3092290.

Greatest Common Factor of 245,8701

To find the highest common factor of 245,8701, we have to find the factors of both numbers and list the highest common factor.

The factors of 245 are 1, 5, 7, 35, 49, 245

The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701

The HCF of 245,8701 is 7.

Lets's calculate GCF of 245,8701

Greatest Common Factor (GCF) of 245,8701 By Common Division

7 245, 8701
35, 1243

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 245,8701 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,8701 By Matching Biggest Common Factor Method

Now, list down the factors of 245

:

1,5,7,35,49,245

Now, list down the factors of 8701

:

1,7,11,77,113,791,1243,8701

Greatest Common Factor

We found the factors 245,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 245,8701 is 7.

Lets's calculate LCM of 955,3238

Lowest Common Multiple of 955,3238 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3092290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3092290

Therefore, the GCF of Fractions 245/955,8701/3238 is 7/3092290

Least Common Multiple of 955,3238 with GCF Formula

Least Common Multiple of 955,3238 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 955,3238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,3238) = 1

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

GCF(955,3238) x common factors =1 x 1 = 1

LCM(955,3238) = ( 955 × 3238 ) / 1

LCM(955,3238) = 3092290 / 1

LCM(955,3238) = 3092290


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FAQs on GCF of Fractions of 245/955, 8701/3238

1. What is the HCF of 245,8701?

The HCF of 245,8701 is 7

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 245/955, 8701/3238?

Answer: GCF of Numerators as per given numbers 245/955, 8701/3238 is

GCF of Numerators i.e. for 245,8701 is 7

LCM of denominators i.e. for 955,3238 is 3092290.

Thus, GCF of Fractions is 7/3092290.Finally, GCF of Fractions for 245/955, 8701/3238 is 7/3092290.