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GCF of 569/22, 358/7564

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 569/22, 358/7564 i.e 1/83204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 569/22, 358/7564.

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 569/22,358/7564?

Given fractions are 569/22,358/7564

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 569/22,358/7564, numerators are 569,358

Denominators are 22,7564

The GCF of 569,358 is 1 .

LCM of 22,7564 is 83204.

The greatest common factor of 569/22,358/7564 = [GCF of 569,358]/[LCM of 22,7564]= 1/83204

Therefore, the GCF of 569/22,358/7564 is 1/83204.

Greatest Common Factor of 569,358

To find the highest common factor of 569,358, we have to find the factors of both numbers and list the highest common factor.

The factors of 569 are 1, 569

The factors of 358 are 1, 2, 179, 358

The HCF of 569,358 is 1.

Lets's calculate GCF of 569,358

Greatest Common Factor (GCF) of 569,358 By Common Division

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

Greatest Common Factor of 569,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,358 By Matching Biggest Common Factor Method

Now, list down the factors of 569

:

1,569

Now, list down the factors of 358

:

1,2,179,358

Greatest Common Factor

We found the factors 569,358 . The biggest common factor number is the GCF number.
So the greatest common factor 569,358 is 1.

Lets's calculate LCM of 22,7564

Lowest Common Multiple of 22,7564 using Common Division

2 22, 7564
11, 3782

∴ So the LCM of the given numbers is 2 x 11 x 3782 = 83204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83204

Therefore, the GCF of Fractions 569/22,358/7564 is 1/83204

Least Common Multiple of 22,7564 with GCF Formula

Least Common Multiple of 22,7564 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 22,7564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,7564) = 2

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

GCF(22,7564) x common factors =2 x 1 = 2

LCM(22,7564) = ( 22 × 7564 ) / 2

LCM(22,7564) = 166408 / 2

LCM(22,7564) = 83204


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FAQs on GCF of Fractions of 569/22, 358/7564

1. What is the HCF of 569,358?

The HCF of 569,358 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 569/22, 358/7564?

Answer: GCF of Numerators as per given numbers 569/22, 358/7564 is

GCF of Numerators i.e. for 569,358 is 1

LCM of denominators i.e. for 22,7564 is 83204.

Thus, GCF of Fractions is 1/83204.Finally, GCF of Fractions for 569/22, 358/7564 is 1/83204.