How to Find GCF of 9518/510, 3458/4456?

GCF of 9518/510, 3458/4456

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 9518/510, 3458/4456 i.e 2/1136280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9518/510, 3458/4456.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9518/510,3458/4456?

Given fractions are 9518/510,3458/4456

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 9518/510,3458/4456, numerators are 9518,3458

Denominators are 510,4456

The GCF of 9518,3458 is 2 .

LCM of 510,4456 is 1136280.

The greatest common factor of 9518/510,3458/4456 = [GCF of 9518,3458]/[LCM of 510,4456]= 2/1136280

Therefore, the GCF of 9518/510,3458/4456 is 2/1136280.

Greatest Common Factor of 9518,3458

To find the highest common factor of 9518,3458, we have to find the factors of both numbers and list the highest common factor.

The factors of 9518 are 1, 2, 4759, 9518

The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458

The HCF of 9518,3458 is 2.

Lets's calculate GCF of 9518,3458

Greatest Common Factor (GCF) of 9518,3458 By Common Division

2	9518, 3458
	4759, 1729

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9518,3458 By Matching Biggest Common Factor Method

Now, list down the factors of 9518

1,2,4759,9518

Now, list down the factors of 3458

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 9518,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 9518,3458 is 2.

Lets's calculate LCM of 510,4456

Lowest Common Multiple of 510,4456 using Common Division

2	510, 4456
	255, 2228

∴ So the LCM of the given numbers is 2 x 255 x 2228 = 1136280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1136280

Therefore, the GCF of Fractions 9518/510,3458/4456 is 2/1136280

Least Common Multiple of 510,4456 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 510,4456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,4456) = 2

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

GCF(510,4456) x common factors =2 x 1 = 2

LCM(510,4456) = ( 510 × 4456 ) / 2

LCM(510,4456) = 2272560 / 2

LCM(510,4456) = 1136280

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FAQs on GCF of Fractions of 9518/510, 3458/4456

1. What is the HCF of 9518,3458?

The HCF of 9518,3458 is 2

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 9518/510, 3458/4456?

Answer: GCF of Numerators as per given numbers 9518/510, 3458/4456 is

GCF of Numerators i.e. for 9518,3458 is 2

LCM of denominators i.e. for 510,4456 is 1136280.

Thus, GCF of Fractions is 2/1136280.Finally, GCF of Fractions for 9518/510, 3458/4456 is 2/1136280.