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GCF of 572/658, 262/206

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 572/658, 262/206 i.e 2/67774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/658, 262/206.

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 572/658,262/206?

Given fractions are 572/658,262/206

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 572/658,262/206, numerators are 572,262

Denominators are 658,206

The GCF of 572,262 is 2 .

LCM of 658,206 is 67774.

The greatest common factor of 572/658,262/206 = [GCF of 572,262]/[LCM of 658,206]= 2/67774

Therefore, the GCF of 572/658,262/206 is 2/67774.

Greatest Common Factor of 572,262

To find the highest common factor of 572,262, we have to find the factors of both numbers and list the highest common factor.

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The factors of 262 are 1, 2, 131, 262

The HCF of 572,262 is 2.

Lets's calculate GCF of 572,262

Greatest Common Factor (GCF) of 572,262 By Common Division

2 572, 262
286, 131

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

Greatest Common Factor of 572,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,262 By Matching Biggest Common Factor Method

Now, list down the factors of 572

:

1,2,4,11,13,22,26,44,52,143,286,572

Now, list down the factors of 262

:

1,2,131,262

Greatest Common Factor

We found the factors 572,262 . The biggest common factor number is the GCF number.
So the greatest common factor 572,262 is 2.

Lets's calculate LCM of 658,206

Lowest Common Multiple of 658,206 using Common Division

2 658, 206
329, 103

∴ So the LCM of the given numbers is 2 x 329 x 103 = 67774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67774

Therefore, the GCF of Fractions 572/658,262/206 is 2/67774

Least Common Multiple of 658,206 with GCF Formula

Least Common Multiple of 658,206 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 658,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,206) = 2

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

GCF(658,206) x common factors =2 x 1 = 2

LCM(658,206) = ( 658 × 206 ) / 2

LCM(658,206) = 135548 / 2

LCM(658,206) = 67774


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FAQs on GCF of Fractions of 572/658, 262/206

1. What is the HCF of 572,262?

The HCF of 572,262 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 572/658, 262/206?

Answer: GCF of Numerators as per given numbers 572/658, 262/206 is

GCF of Numerators i.e. for 572,262 is 2

LCM of denominators i.e. for 658,206 is 67774.

Thus, GCF of Fractions is 2/67774.Finally, GCF of Fractions for 572/658, 262/206 is 2/67774.