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GCF of 7217/122, 6983/7652

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 7217/122, 6983/7652 i.e 1/466772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7217/122, 6983/7652.

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 7217/122,6983/7652?

Given fractions are 7217/122,6983/7652

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 7217/122,6983/7652, numerators are 7217,6983

Denominators are 122,7652

The GCF of 7217,6983 is 1 .

LCM of 122,7652 is 466772.

The greatest common factor of 7217/122,6983/7652 = [GCF of 7217,6983]/[LCM of 122,7652]= 1/466772

Therefore, the GCF of 7217/122,6983/7652 is 1/466772.

Greatest Common Factor of 7217,6983

To find the highest common factor of 7217,6983, we have to find the factors of both numbers and list the highest common factor.

The factors of 7217 are 1, 7, 1031, 7217

The factors of 6983 are 1, 6983

The HCF of 7217,6983 is 1.

Lets's calculate GCF of 7217,6983

Greatest Common Factor (GCF) of 7217,6983 By Common Division

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

Greatest Common Factor of 7217,6983 By Matching Biggest Common Factor Method

Greatest Common Factor of 7217,6983 By Matching Biggest Common Factor Method

Now, list down the factors of 7217

:

1,7,1031,7217

Now, list down the factors of 6983

:

1,6983

Greatest Common Factor

We found the factors 7217,6983 . The biggest common factor number is the GCF number.
So the greatest common factor 7217,6983 is 1.

Lets's calculate LCM of 122,7652

Lowest Common Multiple of 122,7652 using Common Division

2 122, 7652
61, 3826

∴ So the LCM of the given numbers is 2 x 61 x 3826 = 466772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466772

Therefore, the GCF of Fractions 7217/122,6983/7652 is 1/466772

Least Common Multiple of 122,7652 with GCF Formula

Least Common Multiple of 122,7652 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 122,7652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,7652) = 2

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

GCF(122,7652) x common factors =2 x 1 = 2

LCM(122,7652) = ( 122 × 7652 ) / 2

LCM(122,7652) = 933544 / 2

LCM(122,7652) = 466772


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FAQs on GCF of Fractions of 7217/122, 6983/7652

1. What is the HCF of 7217,6983?

The HCF of 7217,6983 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 7217/122, 6983/7652?

Answer: GCF of Numerators as per given numbers 7217/122, 6983/7652 is

GCF of Numerators i.e. for 7217,6983 is 1

LCM of denominators i.e. for 122,7652 is 466772.

Thus, GCF of Fractions is 1/466772.Finally, GCF of Fractions for 7217/122, 6983/7652 is 1/466772.