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GCF of 994/840, 152/404

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 994/840, 152/404 i.e 2/84840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/840, 152/404.

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 994/840,152/404?

Given fractions are 994/840,152/404

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 994/840,152/404, numerators are 994,152

Denominators are 840,404

The GCF of 994,152 is 2 .

LCM of 840,404 is 84840.

The greatest common factor of 994/840,152/404 = [GCF of 994,152]/[LCM of 840,404]= 2/84840

Therefore, the GCF of 994/840,152/404 is 2/84840.

Greatest Common Factor of 994,152

To find the highest common factor of 994,152, we have to find the factors of both numbers and list the highest common factor.

The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152

The HCF of 994,152 is 2.

Lets's calculate GCF of 994,152

Greatest Common Factor (GCF) of 994,152 By Common Division

2 994, 152
497, 76

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

Greatest Common Factor of 994,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,152 By Matching Biggest Common Factor Method

Now, list down the factors of 994

:

1,2,7,14,71,142,497,994

Now, list down the factors of 152

:

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 994,152 . The biggest common factor number is the GCF number.
So the greatest common factor 994,152 is 2.

Lets's calculate LCM of 840,404

Lowest Common Multiple of 840,404 using Common Division

2 840, 404
2 420, 202
210, 101

∴ So the LCM of the given numbers is 2 x 2 x 210 x 101 = 84840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84840

Therefore, the GCF of Fractions 994/840,152/404 is 2/84840

Least Common Multiple of 840,404 with GCF Formula

Least Common Multiple of 840,404 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 840,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,404) = 4

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

GCF(840,404) x common factors =4 x 1 = 4

LCM(840,404) = ( 840 × 404 ) / 4

LCM(840,404) = 339360 / 4

LCM(840,404) = 84840


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FAQs on GCF of Fractions of 994/840, 152/404

1. What is the HCF of 994,152?

The HCF of 994,152 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 994/840, 152/404?

Answer: GCF of Numerators as per given numbers 994/840, 152/404 is

GCF of Numerators i.e. for 994,152 is 2

LCM of denominators i.e. for 840,404 is 84840.

Thus, GCF of Fractions is 2/84840.Finally, GCF of Fractions for 994/840, 152/404 is 2/84840.