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GCF of 496/136, 282/200

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 496/136, 282/200 i.e 2/3400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/136, 282/200.

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 496/136,282/200?

Given fractions are 496/136,282/200

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 496/136,282/200, numerators are 496,282

Denominators are 136,200

The GCF of 496,282 is 2 .

LCM of 136,200 is 3400.

The greatest common factor of 496/136,282/200 = [GCF of 496,282]/[LCM of 136,200]= 2/3400

Therefore, the GCF of 496/136,282/200 is 2/3400.

Greatest Common Factor of 496,282

To find the highest common factor of 496,282, we have to find the factors of both numbers and list the highest common factor.

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The HCF of 496,282 is 2.

Lets's calculate GCF of 496,282

Greatest Common Factor (GCF) of 496,282 By Common Division

2 496, 282
248, 141

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

Greatest Common Factor of 496,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,282 By Matching Biggest Common Factor Method

Now, list down the factors of 496

:

1,2,4,8,16,31,62,124,248,496

Now, list down the factors of 282

:

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 496,282 . The biggest common factor number is the GCF number.
So the greatest common factor 496,282 is 2.

Lets's calculate LCM of 136,200

Lowest Common Multiple of 136,200 using Common Division

2 136, 200
2 68, 100
2 34, 50
17, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 25 = 3400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3400

Therefore, the GCF of Fractions 496/136,282/200 is 2/3400

Least Common Multiple of 136,200 with GCF Formula

Least Common Multiple of 136,200 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 136,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,200) = 8

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

GCF(136,200) x common factors =8 x 1 = 8

LCM(136,200) = ( 136 × 200 ) / 8

LCM(136,200) = 27200 / 8

LCM(136,200) = 3400


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FAQs on GCF of Fractions of 496/136, 282/200

1. What is the HCF of 496,282?

The HCF of 496,282 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 496/136, 282/200?

Answer: GCF of Numerators as per given numbers 496/136, 282/200 is

GCF of Numerators i.e. for 496,282 is 2

LCM of denominators i.e. for 136,200 is 3400.

Thus, GCF of Fractions is 2/3400.Finally, GCF of Fractions for 496/136, 282/200 is 2/3400.