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GCF of 262/704, 8059/5996

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 262/704, 8059/5996 i.e 1/1055296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/704, 8059/5996.

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 262/704,8059/5996?

Given fractions are 262/704,8059/5996

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 262/704,8059/5996, numerators are 262,8059

Denominators are 704,5996

The GCF of 262,8059 is 1 .

LCM of 704,5996 is 1055296.

The greatest common factor of 262/704,8059/5996 = [GCF of 262,8059]/[LCM of 704,5996]= 1/1055296

Therefore, the GCF of 262/704,8059/5996 is 1/1055296.

Greatest Common Factor of 262,8059

To find the highest common factor of 262,8059, we have to find the factors of both numbers and list the highest common factor.

The factors of 262 are 1, 2, 131, 262

The factors of 8059 are 1, 8059

The HCF of 262,8059 is 1.

Lets's calculate GCF of 262,8059

Greatest Common Factor (GCF) of 262,8059 By Common Division

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

Greatest Common Factor of 262,8059 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,8059 By Matching Biggest Common Factor Method

Now, list down the factors of 262

:

1,2,131,262

Now, list down the factors of 8059

:

1,8059

Greatest Common Factor

We found the factors 262,8059 . The biggest common factor number is the GCF number.
So the greatest common factor 262,8059 is 1.

Lets's calculate LCM of 704,5996

Lowest Common Multiple of 704,5996 using Common Division

2 704, 5996
2 352, 2998
176, 1499

∴ So the LCM of the given numbers is 2 x 2 x 176 x 1499 = 1055296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1055296

Therefore, the GCF of Fractions 262/704,8059/5996 is 1/1055296

Least Common Multiple of 704,5996 with GCF Formula

Least Common Multiple of 704,5996 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 704,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,5996) = 4

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

GCF(704,5996) x common factors =4 x 1 = 4

LCM(704,5996) = ( 704 × 5996 ) / 4

LCM(704,5996) = 4221184 / 4

LCM(704,5996) = 1055296


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FAQs on GCF of Fractions of 262/704, 8059/5996

1. What is the HCF of 262,8059?

The HCF of 262,8059 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 262/704, 8059/5996?

Answer: GCF of Numerators as per given numbers 262/704, 8059/5996 is

GCF of Numerators i.e. for 262,8059 is 1

LCM of denominators i.e. for 704,5996 is 1055296.

Thus, GCF of Fractions is 1/1055296.Finally, GCF of Fractions for 262/704, 8059/5996 is 1/1055296.