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GCF of 7900/467, 5983/416

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 7900/467, 5983/416 i.e 1/194272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7900/467, 5983/416.

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 7900/467,5983/416?

Given fractions are 7900/467,5983/416

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 7900/467,5983/416, numerators are 7900,5983

Denominators are 467,416

The GCF of 7900,5983 is 1 .

LCM of 467,416 is 194272.

The greatest common factor of 7900/467,5983/416 = [GCF of 7900,5983]/[LCM of 467,416]= 1/194272

Therefore, the GCF of 7900/467,5983/416 is 1/194272.

Greatest Common Factor of 7900,5983

To find the highest common factor of 7900,5983, we have to find the factors of both numbers and list the highest common factor.

The factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900

The factors of 5983 are 1, 31, 193, 5983

The HCF of 7900,5983 is 1.

Lets's calculate GCF of 7900,5983

Greatest Common Factor (GCF) of 7900,5983 By Common Division

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

Greatest Common Factor of 7900,5983 By Matching Biggest Common Factor Method

Greatest Common Factor of 7900,5983 By Matching Biggest Common Factor Method

Now, list down the factors of 7900

:

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Now, list down the factors of 5983

:

1,31,193,5983

Greatest Common Factor

We found the factors 7900,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 7900,5983 is 1.


Lets's calculate LCM of 467,416

Lowest Common Multiple of 467,416 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 194272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194272

Therefore, the GCF of Fractions 7900/467,5983/416 is 1/194272

Least Common Multiple of 467,416 with GCF Formula

Least Common Multiple of 467,416 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 467,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,416) = 1

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

GCF(467,416) x common factors =1 x 1 = 1

LCM(467,416) = ( 467 × 416 ) / 1

LCM(467,416) = 194272 / 1

LCM(467,416) = 194272


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7900/467, 5983/416

1. What is the HCF of 7900,5983?

The HCF of 7900,5983 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 7900/467, 5983/416?

Answer: GCF of Numerators as per given numbers 7900/467, 5983/416 is

GCF of Numerators i.e. for 7900,5983 is 1

LCM of denominators i.e. for 467,416 is 194272.

Thus, GCF of Fractions is 1/194272.Finally, GCF of Fractions for 7900/467, 5983/416 is 1/194272.