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GCF of 263/51, 518/3512

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 263/51, 518/3512 i.e 1/179112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/51, 518/3512.

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 263/51,518/3512?

Given fractions are 263/51,518/3512

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 263/51,518/3512, numerators are 263,518

Denominators are 51,3512

The GCF of 263,518 is 1 .

LCM of 51,3512 is 179112.

The greatest common factor of 263/51,518/3512 = [GCF of 263,518]/[LCM of 51,3512]= 1/179112

Therefore, the GCF of 263/51,518/3512 is 1/179112.

Greatest Common Factor of 263,518

To find the highest common factor of 263,518, we have to find the factors of both numbers and list the highest common factor.

The factors of 263 are 1, 263

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 263,518 is 1.

Lets's calculate GCF of 263,518

Greatest Common Factor (GCF) of 263,518 By Common Division

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

Greatest Common Factor of 263,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,518 By Matching Biggest Common Factor Method

Now, list down the factors of 263

:

1,263

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 263,518 . The biggest common factor number is the GCF number.
So the greatest common factor 263,518 is 1.

Lets's calculate LCM of 51,3512

Lowest Common Multiple of 51,3512 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 179112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179112

Therefore, the GCF of Fractions 263/51,518/3512 is 1/179112

Least Common Multiple of 51,3512 with GCF Formula

Least Common Multiple of 51,3512 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 51,3512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,3512) = 1

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

GCF(51,3512) x common factors =1 x 1 = 1

LCM(51,3512) = ( 51 × 3512 ) / 1

LCM(51,3512) = 179112 / 1

LCM(51,3512) = 179112


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FAQs on GCF of Fractions of 263/51, 518/3512

1. What is the HCF of 263,518?

The HCF of 263,518 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 263/51, 518/3512?

Answer: GCF of Numerators as per given numbers 263/51, 518/3512 is

GCF of Numerators i.e. for 263,518 is 1

LCM of denominators i.e. for 51,3512 is 179112.

Thus, GCF of Fractions is 1/179112.Finally, GCF of Fractions for 263/51, 518/3512 is 1/179112.