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GCF of 5951/539, 1697/1208

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 5951/539, 1697/1208 i.e 1/651112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5951/539, 1697/1208.

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 5951/539,1697/1208?

Given fractions are 5951/539,1697/1208

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 5951/539,1697/1208, numerators are 5951,1697

Denominators are 539,1208

The GCF of 5951,1697 is 1 .

LCM of 539,1208 is 651112.

The greatest common factor of 5951/539,1697/1208 = [GCF of 5951,1697]/[LCM of 539,1208]= 1/651112

Therefore, the GCF of 5951/539,1697/1208 is 1/651112.

Greatest Common Factor of 5951,1697

To find the highest common factor of 5951,1697, we have to find the factors of both numbers and list the highest common factor.

The factors of 5951 are 1, 11, 541, 5951

The factors of 1697 are 1, 1697

The HCF of 5951,1697 is 1.

Lets's calculate GCF of 5951,1697

Greatest Common Factor (GCF) of 5951,1697 By Common Division

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

Greatest Common Factor of 5951,1697 By Matching Biggest Common Factor Method

Greatest Common Factor of 5951,1697 By Matching Biggest Common Factor Method

Now, list down the factors of 5951

:

1,11,541,5951

Now, list down the factors of 1697

:

1,1697

Greatest Common Factor

We found the factors 5951,1697 . The biggest common factor number is the GCF number.
So the greatest common factor 5951,1697 is 1.

Lets's calculate LCM of 539,1208

Lowest Common Multiple of 539,1208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 651112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/651112

Therefore, the GCF of Fractions 5951/539,1697/1208 is 1/651112

Least Common Multiple of 539,1208 with GCF Formula

Least Common Multiple of 539,1208 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 539,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,1208) = 1

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

GCF(539,1208) x common factors =1 x 1 = 1

LCM(539,1208) = ( 539 × 1208 ) / 1

LCM(539,1208) = 651112 / 1

LCM(539,1208) = 651112


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FAQs on GCF of Fractions of 5951/539, 1697/1208

1. What is the HCF of 5951,1697?

The HCF of 5951,1697 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 5951/539, 1697/1208?

Answer: GCF of Numerators as per given numbers 5951/539, 1697/1208 is

GCF of Numerators i.e. for 5951,1697 is 1

LCM of denominators i.e. for 539,1208 is 651112.

Thus, GCF of Fractions is 1/651112.Finally, GCF of Fractions for 5951/539, 1697/1208 is 1/651112.