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GCF of 4274/461, 2347/570

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 4274/461, 2347/570 i.e 1/262770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4274/461, 2347/570.

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 4274/461,2347/570?

Given fractions are 4274/461,2347/570

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 4274/461,2347/570, numerators are 4274,2347

Denominators are 461,570

The GCF of 4274,2347 is 1 .

LCM of 461,570 is 262770.

The greatest common factor of 4274/461,2347/570 = [GCF of 4274,2347]/[LCM of 461,570]= 1/262770

Therefore, the GCF of 4274/461,2347/570 is 1/262770.

Greatest Common Factor of 4274,2347

To find the highest common factor of 4274,2347, we have to find the factors of both numbers and list the highest common factor.

The factors of 4274 are 1, 2, 2137, 4274

The factors of 2347 are 1, 2347

The HCF of 4274,2347 is 1.

Lets's calculate GCF of 4274,2347

Greatest Common Factor (GCF) of 4274,2347 By Common Division

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

Greatest Common Factor of 4274,2347 By Matching Biggest Common Factor Method

Greatest Common Factor of 4274,2347 By Matching Biggest Common Factor Method

Now, list down the factors of 4274

:

1,2,2137,4274

Now, list down the factors of 2347

:

1,2347

Greatest Common Factor

We found the factors 4274,2347 . The biggest common factor number is the GCF number.
So the greatest common factor 4274,2347 is 1.

Lets's calculate LCM of 461,570

Lowest Common Multiple of 461,570 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 262770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262770

Therefore, the GCF of Fractions 4274/461,2347/570 is 1/262770

Least Common Multiple of 461,570 with GCF Formula

Least Common Multiple of 461,570 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 461,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,570) = 1

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

GCF(461,570) x common factors =1 x 1 = 1

LCM(461,570) = ( 461 × 570 ) / 1

LCM(461,570) = 262770 / 1

LCM(461,570) = 262770


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FAQs on GCF of Fractions of 4274/461, 2347/570

1. What is the HCF of 4274,2347?

The HCF of 4274,2347 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 4274/461, 2347/570?

Answer: GCF of Numerators as per given numbers 4274/461, 2347/570 is

GCF of Numerators i.e. for 4274,2347 is 1

LCM of denominators i.e. for 461,570 is 262770.

Thus, GCF of Fractions is 1/262770.Finally, GCF of Fractions for 4274/461, 2347/570 is 1/262770.