How to Find GCF of 4870/256, 2213/7498?

GCF of 4870/256, 2213/7498

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 4870/256, 2213/7498 i.e 1/959744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/256, 2213/7498.

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 4870/256,2213/7498?

Given fractions are 4870/256,2213/7498

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 4870/256,2213/7498, numerators are 4870,2213

Denominators are 256,7498

The GCF of 4870,2213 is 1 .

LCM of 256,7498 is 959744.

The greatest common factor of 4870/256,2213/7498 = [GCF of 4870,2213]/[LCM of 256,7498]= 1/959744

Therefore, the GCF of 4870/256,2213/7498 is 1/959744.

Greatest Common Factor of 4870,2213

To find the highest common factor of 4870,2213, we have to find the factors of both numbers and list the highest common factor.

The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870

The factors of 2213 are 1, 2213

The HCF of 4870,2213 is 1.

Lets's calculate GCF of 4870,2213

Greatest Common Factor (GCF) of 4870,2213 By Common Division

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

Greatest Common Factor of 4870,2213 By Matching Biggest Common Factor Method

Now, list down the factors of 4870

1,2,5,10,487,974,2435,4870

Now, list down the factors of 2213

1,2213

Greatest Common Factor

We found the factors 4870,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,2213 is 1.

Lets's calculate LCM of 256,7498

Lowest Common Multiple of 256,7498 using Common Division

2	256, 7498
	128, 3749

∴ So the LCM of the given numbers is 2 x 128 x 3749 = 959744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/959744

Therefore, the GCF of Fractions 4870/256,2213/7498 is 1/959744

Least Common Multiple of 256,7498 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 256,7498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,7498) = 2

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

GCF(256,7498) x common factors =2 x 1 = 2

LCM(256,7498) = ( 256 × 7498 ) / 2

LCM(256,7498) = 1919488 / 2

LCM(256,7498) = 959744

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FAQs on GCF of Fractions of 4870/256, 2213/7498

1. What is the HCF of 4870,2213?

The HCF of 4870,2213 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 4870/256, 2213/7498?

Answer: GCF of Numerators as per given numbers 4870/256, 2213/7498 is

GCF of Numerators i.e. for 4870,2213 is 1

LCM of denominators i.e. for 256,7498 is 959744.

Thus, GCF of Fractions is 1/959744.Finally, GCF of Fractions for 4870/256, 2213/7498 is 1/959744.