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GCF of 3207/353, 7983/1460

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 3207/353, 7983/1460 i.e 3/515380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3207/353, 7983/1460.

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 3207/353,7983/1460?

Given fractions are 3207/353,7983/1460

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 3207/353,7983/1460, numerators are 3207,7983

Denominators are 353,1460

The GCF of 3207,7983 is 3 .

LCM of 353,1460 is 515380.

The greatest common factor of 3207/353,7983/1460 = [GCF of 3207,7983]/[LCM of 353,1460]= 3/515380

Therefore, the GCF of 3207/353,7983/1460 is 3/515380.

Greatest Common Factor of 3207,7983

To find the highest common factor of 3207,7983, we have to find the factors of both numbers and list the highest common factor.

The factors of 3207 are 1, 3, 1069, 3207

The factors of 7983 are 1, 3, 9, 887, 2661, 7983

The HCF of 3207,7983 is 3.

Lets's calculate GCF of 3207,7983

Greatest Common Factor (GCF) of 3207,7983 By Common Division

3 3207, 7983
1069, 2661

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3207,7983 By Matching Biggest Common Factor Method

Greatest Common Factor of 3207,7983 By Matching Biggest Common Factor Method

Now, list down the factors of 3207

:

1,3,1069,3207

Now, list down the factors of 7983

:

1,3,9,887,2661,7983

Greatest Common Factor

We found the factors 3207,7983 . The biggest common factor number is the GCF number.
So the greatest common factor 3207,7983 is 3.

Lets's calculate LCM of 353,1460

Lowest Common Multiple of 353,1460 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 515380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/515380

Therefore, the GCF of Fractions 3207/353,7983/1460 is 3/515380

Least Common Multiple of 353,1460 with GCF Formula

Least Common Multiple of 353,1460 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 353,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,1460) = 1

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

GCF(353,1460) x common factors =1 x 1 = 1

LCM(353,1460) = ( 353 × 1460 ) / 1

LCM(353,1460) = 515380 / 1

LCM(353,1460) = 515380


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FAQs on GCF of Fractions of 3207/353, 7983/1460

1. What is the HCF of 3207,7983?

The HCF of 3207,7983 is 3

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 3207/353, 7983/1460?

Answer: GCF of Numerators as per given numbers 3207/353, 7983/1460 is

GCF of Numerators i.e. for 3207,7983 is 3

LCM of denominators i.e. for 353,1460 is 515380.

Thus, GCF of Fractions is 3/515380.Finally, GCF of Fractions for 3207/353, 7983/1460 is 3/515380.