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GCF of 100/642, 822/628

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 100/642, 822/628 i.e 2/201588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/642, 822/628.

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 100/642,822/628?

Given fractions are 100/642,822/628

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 100/642,822/628, numerators are 100,822

Denominators are 642,628

The GCF of 100,822 is 2 .

LCM of 642,628 is 201588.

The greatest common factor of 100/642,822/628 = [GCF of 100,822]/[LCM of 642,628]= 2/201588

Therefore, the GCF of 100/642,822/628 is 2/201588.

Greatest Common Factor of 100,822

To find the highest common factor of 100,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The HCF of 100,822 is 2.

Lets's calculate GCF of 100,822

Greatest Common Factor (GCF) of 100,822 By Common Division

2 100, 822
50, 411

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

Greatest Common Factor of 100,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,822 By Matching Biggest Common Factor Method

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Now, list down the factors of 822

:

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 100,822 . The biggest common factor number is the GCF number.
So the greatest common factor 100,822 is 2.

Lets's calculate LCM of 642,628

Lowest Common Multiple of 642,628 using Common Division

2 642, 628
321, 314

∴ So the LCM of the given numbers is 2 x 321 x 314 = 201588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201588

Therefore, the GCF of Fractions 100/642,822/628 is 2/201588

Least Common Multiple of 642,628 with GCF Formula

Least Common Multiple of 642,628 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 642,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,628) = 2

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

GCF(642,628) x common factors =2 x 1 = 2

LCM(642,628) = ( 642 × 628 ) / 2

LCM(642,628) = 403176 / 2

LCM(642,628) = 201588


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 100/642, 822/628

1. What is the HCF of 100,822?

The HCF of 100,822 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 100/642, 822/628?

Answer: GCF of Numerators as per given numbers 100/642, 822/628 is

GCF of Numerators i.e. for 100,822 is 2

LCM of denominators i.e. for 642,628 is 201588.

Thus, GCF of Fractions is 2/201588.Finally, GCF of Fractions for 100/642, 822/628 is 2/201588.