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GCF of 628/573, 222/520

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 628/573, 222/520 i.e 2/297960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/573, 222/520.

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 628/573,222/520?

Given fractions are 628/573,222/520

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 628/573,222/520, numerators are 628,222

Denominators are 573,520

The GCF of 628,222 is 2 .

LCM of 573,520 is 297960.

The greatest common factor of 628/573,222/520 = [GCF of 628,222]/[LCM of 573,520]= 2/297960

Therefore, the GCF of 628/573,222/520 is 2/297960.

Greatest Common Factor of 628,222

To find the highest common factor of 628,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 628 are 1, 2, 4, 157, 314, 628

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222

The HCF of 628,222 is 2.

Lets's calculate GCF of 628,222

Greatest Common Factor (GCF) of 628,222 By Common Division

2 628, 222
314, 111

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

Greatest Common Factor of 628,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,222 By Matching Biggest Common Factor Method

Now, list down the factors of 628

:

1,2,4,157,314,628

Now, list down the factors of 222

:

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 628,222 . The biggest common factor number is the GCF number.
So the greatest common factor 628,222 is 2.

Lets's calculate LCM of 573,520

Lowest Common Multiple of 573,520 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 297960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/297960

Therefore, the GCF of Fractions 628/573,222/520 is 2/297960

Least Common Multiple of 573,520 with GCF Formula

Least Common Multiple of 573,520 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 573,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,520) = 1

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

GCF(573,520) x common factors =1 x 1 = 1

LCM(573,520) = ( 573 × 520 ) / 1

LCM(573,520) = 297960 / 1

LCM(573,520) = 297960


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FAQs on GCF of Fractions of 628/573, 222/520

1. What is the HCF of 628,222?

The HCF of 628,222 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 628/573, 222/520?

Answer: GCF of Numerators as per given numbers 628/573, 222/520 is

GCF of Numerators i.e. for 628,222 is 2

LCM of denominators i.e. for 573,520 is 297960.

Thus, GCF of Fractions is 2/297960.Finally, GCF of Fractions for 628/573, 222/520 is 2/297960.