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GCF of 628/23, 988/9224

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 628/23, 988/9224 i.e 4/212152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/23, 988/9224.

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 628/23,988/9224?

Given fractions are 628/23,988/9224

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 628/23,988/9224, numerators are 628,988

Denominators are 23,9224

The GCF of 628,988 is 4 .

LCM of 23,9224 is 212152.

The greatest common factor of 628/23,988/9224 = [GCF of 628,988]/[LCM of 23,9224]= 4/212152

Therefore, the GCF of 628/23,988/9224 is 4/212152.

Greatest Common Factor of 628,988

To find the highest common factor of 628,988, 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 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The HCF of 628,988 is 4.

Lets's calculate GCF of 628,988

Greatest Common Factor (GCF) of 628,988 By Common Division

2 628, 988
2 314, 494
157, 247

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 628,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,988 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 988

:

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 628,988 . The biggest common factor number is the GCF number.
So the greatest common factor 628,988 is 4.

Lets's calculate LCM of 23,9224

Lowest Common Multiple of 23,9224 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 212152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/212152

Therefore, the GCF of Fractions 628/23,988/9224 is 4/212152

Least Common Multiple of 23,9224 with GCF Formula

Least Common Multiple of 23,9224 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 23,9224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,9224) = 1

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

GCF(23,9224) x common factors =1 x 1 = 1

LCM(23,9224) = ( 23 × 9224 ) / 1

LCM(23,9224) = 212152 / 1

LCM(23,9224) = 212152


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FAQs on GCF of Fractions of 628/23, 988/9224

1. What is the HCF of 628,988?

The HCF of 628,988 is 4

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 628/23, 988/9224?

Answer: GCF of Numerators as per given numbers 628/23, 988/9224 is

GCF of Numerators i.e. for 628,988 is 4

LCM of denominators i.e. for 23,9224 is 212152.

Thus, GCF of Fractions is 4/212152.Finally, GCF of Fractions for 628/23, 988/9224 is 4/212152.