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GCF of 152/584, 285/827

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 152/584, 285/827 i.e 19/482968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/584, 285/827.

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 152/584,285/827?

Given fractions are 152/584,285/827

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 152/584,285/827, numerators are 152,285

Denominators are 584,827

The GCF of 152,285 is 19 .

LCM of 584,827 is 482968.

The greatest common factor of 152/584,285/827 = [GCF of 152,285]/[LCM of 584,827]= 19/482968

Therefore, the GCF of 152/584,285/827 is 19/482968.

Greatest Common Factor of 152,285

To find the highest common factor of 152,285, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285

The HCF of 152,285 is 19.

Lets's calculate GCF of 152,285

Greatest Common Factor (GCF) of 152,285 By Common Division

19 152, 285
8, 15

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 152,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,285 By Matching Biggest Common Factor Method

Now, list down the factors of 152

:

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

Now, list down the factors of 285

:

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 152,285 . The biggest common factor number is the GCF number.
So the greatest common factor 152,285 is 19.

Lets's calculate LCM of 584,827

Lowest Common Multiple of 584,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 482968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/482968

Therefore, the GCF of Fractions 152/584,285/827 is 19/482968

Least Common Multiple of 584,827 with GCF Formula

Least Common Multiple of 584,827 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 584,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,827) = 1

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

GCF(584,827) x common factors =1 x 1 = 1

LCM(584,827) = ( 584 × 827 ) / 1

LCM(584,827) = 482968 / 1

LCM(584,827) = 482968


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 152/584, 285/827

1. What is the HCF of 152,285?

The HCF of 152,285 is 19

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 152/584, 285/827?

Answer: GCF of Numerators as per given numbers 152/584, 285/827 is

GCF of Numerators i.e. for 152,285 is 19

LCM of denominators i.e. for 584,827 is 482968.

Thus, GCF of Fractions is 19/482968.Finally, GCF of Fractions for 152/584, 285/827 is 19/482968.