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GCF of 823/124, 416/310

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 823/124, 416/310 i.e 1/620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/124, 416/310.

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 823/124,416/310?

Given fractions are 823/124,416/310

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 823/124,416/310, numerators are 823,416

Denominators are 124,310

The GCF of 823,416 is 1 .

LCM of 124,310 is 620.

The greatest common factor of 823/124,416/310 = [GCF of 823,416]/[LCM of 124,310]= 1/620

Therefore, the GCF of 823/124,416/310 is 1/620.

Greatest Common Factor of 823,416

To find the highest common factor of 823,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 823 are 1, 823

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 823,416 is 1.

Lets's calculate GCF of 823,416

Greatest Common Factor (GCF) of 823,416 By Common Division

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

Greatest Common Factor of 823,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,416 By Matching Biggest Common Factor Method

Now, list down the factors of 823

:

1,823

Now, list down the factors of 416

:

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 823,416 . The biggest common factor number is the GCF number.
So the greatest common factor 823,416 is 1.

Lets's calculate LCM of 124,310

Lowest Common Multiple of 124,310 using Common Division

2 124, 310
31 62, 155
2, 5

∴ So the LCM of the given numbers is 2 x 31 x 2 x 5 = 620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620

Therefore, the GCF of Fractions 823/124,416/310 is 1/620

Least Common Multiple of 124,310 with GCF Formula

Least Common Multiple of 124,310 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 124,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,310) = 62

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

GCF(124,310) x common factors =62 x 1 = 62

LCM(124,310) = ( 124 × 310 ) / 62

LCM(124,310) = 38440 / 62

LCM(124,310) = 620


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FAQs on GCF of Fractions of 823/124, 416/310

1. What is the HCF of 823,416?

The HCF of 823,416 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 823/124, 416/310?

Answer: GCF of Numerators as per given numbers 823/124, 416/310 is

GCF of Numerators i.e. for 823,416 is 1

LCM of denominators i.e. for 124,310 is 620.

Thus, GCF of Fractions is 1/620.Finally, GCF of Fractions for 823/124, 416/310 is 1/620.