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GCF of 102/480, 8630/836

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 102/480, 8630/836 i.e 2/100320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/480, 8630/836.

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 102/480,8630/836?

Given fractions are 102/480,8630/836

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 102/480,8630/836, numerators are 102,8630

Denominators are 480,836

The GCF of 102,8630 is 2 .

LCM of 480,836 is 100320.

The greatest common factor of 102/480,8630/836 = [GCF of 102,8630]/[LCM of 480,836]= 2/100320

Therefore, the GCF of 102/480,8630/836 is 2/100320.

Greatest Common Factor of 102,8630

To find the highest common factor of 102,8630, we have to find the factors of both numbers and list the highest common factor.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630

The HCF of 102,8630 is 2.

Lets's calculate GCF of 102,8630

Greatest Common Factor (GCF) of 102,8630 By Common Division

2 102, 8630
51, 4315

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

Greatest Common Factor of 102,8630 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,8630 By Matching Biggest Common Factor Method

Now, list down the factors of 102

:

1,2,3,6,17,34,51,102

Now, list down the factors of 8630

:

1,2,5,10,863,1726,4315,8630

Greatest Common Factor

We found the factors 102,8630 . The biggest common factor number is the GCF number.
So the greatest common factor 102,8630 is 2.

Lets's calculate LCM of 480,836

Lowest Common Multiple of 480,836 using Common Division

2 480, 836
2 240, 418
120, 209

∴ So the LCM of the given numbers is 2 x 2 x 120 x 209 = 100320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100320

Therefore, the GCF of Fractions 102/480,8630/836 is 2/100320

Least Common Multiple of 480,836 with GCF Formula

Least Common Multiple of 480,836 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 480,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,836) = 4

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

GCF(480,836) x common factors =4 x 1 = 4

LCM(480,836) = ( 480 × 836 ) / 4

LCM(480,836) = 401280 / 4

LCM(480,836) = 100320


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FAQs on GCF of Fractions of 102/480, 8630/836

1. What is the HCF of 102,8630?

The HCF of 102,8630 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 102/480, 8630/836?

Answer: GCF of Numerators as per given numbers 102/480, 8630/836 is

GCF of Numerators i.e. for 102,8630 is 2

LCM of denominators i.e. for 480,836 is 100320.

Thus, GCF of Fractions is 2/100320.Finally, GCF of Fractions for 102/480, 8630/836 is 2/100320.