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GCF of 505/616, 283/868

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 505/616, 283/868 i.e 1/19096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 505/616, 283/868.

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 505/616,283/868?

Given fractions are 505/616,283/868

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 505/616,283/868, numerators are 505,283

Denominators are 616,868

The GCF of 505,283 is 1 .

LCM of 616,868 is 19096.

The greatest common factor of 505/616,283/868 = [GCF of 505,283]/[LCM of 616,868]= 1/19096

Therefore, the GCF of 505/616,283/868 is 1/19096.

Greatest Common Factor of 505,283

To find the highest common factor of 505,283, we have to find the factors of both numbers and list the highest common factor.

The factors of 505 are 1, 5, 101, 505

The factors of 283 are 1, 283

The HCF of 505,283 is 1.

Lets's calculate GCF of 505,283

Greatest Common Factor (GCF) of 505,283 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 505,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,283 By Matching Biggest Common Factor Method

Now, list down the factors of 505

:

1,5,101,505

Now, list down the factors of 283

:

1,283

Greatest Common Factor

We found the factors 505,283 . The biggest common factor number is the GCF number.
So the greatest common factor 505,283 is 1.

Lets's calculate LCM of 616,868

Lowest Common Multiple of 616,868 using Common Division

2 616, 868
2 308, 434
7 154, 217
22, 31

∴ So the LCM of the given numbers is 2 x 2 x 7 x 22 x 31 = 19096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19096

Therefore, the GCF of Fractions 505/616,283/868 is 1/19096

Least Common Multiple of 616,868 with GCF Formula

Least Common Multiple of 616,868 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 616,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,868) = 28

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

GCF(616,868) x common factors =28 x 1 = 28

LCM(616,868) = ( 616 × 868 ) / 28

LCM(616,868) = 534688 / 28

LCM(616,868) = 19096


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FAQs on GCF of Fractions of 505/616, 283/868

1. What is the HCF of 505,283?

The HCF of 505,283 is 1

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 505/616, 283/868?

Answer: GCF of Numerators as per given numbers 505/616, 283/868 is

GCF of Numerators i.e. for 505,283 is 1

LCM of denominators i.e. for 616,868 is 19096.

Thus, GCF of Fractions is 1/19096.Finally, GCF of Fractions for 505/616, 283/868 is 1/19096.