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GCF of 922/310, 827/830

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 922/310, 827/830 i.e 1/25730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/310, 827/830.

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 922/310,827/830?

Given fractions are 922/310,827/830

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 922/310,827/830, numerators are 922,827

Denominators are 310,830

The GCF of 922,827 is 1 .

LCM of 310,830 is 25730.

The greatest common factor of 922/310,827/830 = [GCF of 922,827]/[LCM of 310,830]= 1/25730

Therefore, the GCF of 922/310,827/830 is 1/25730.

Greatest Common Factor of 922,827

To find the highest common factor of 922,827, we have to find the factors of both numbers and list the highest common factor.

The factors of 922 are 1, 2, 461, 922

The factors of 827 are 1, 827

The HCF of 922,827 is 1.

Lets's calculate GCF of 922,827

Greatest Common Factor (GCF) of 922,827 By Common Division

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

Greatest Common Factor of 922,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,827 By Matching Biggest Common Factor Method

Now, list down the factors of 922

:

1,2,461,922

Now, list down the factors of 827

:

1,827

Greatest Common Factor

We found the factors 922,827 . The biggest common factor number is the GCF number.
So the greatest common factor 922,827 is 1.

Lets's calculate LCM of 310,830

Lowest Common Multiple of 310,830 using Common Division

2 310, 830
5 155, 415
31, 83

∴ So the LCM of the given numbers is 2 x 5 x 31 x 83 = 25730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25730

Therefore, the GCF of Fractions 922/310,827/830 is 1/25730

Least Common Multiple of 310,830 with GCF Formula

Least Common Multiple of 310,830 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 310,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,830) = 10

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

GCF(310,830) x common factors =10 x 1 = 10

LCM(310,830) = ( 310 × 830 ) / 10

LCM(310,830) = 257300 / 10

LCM(310,830) = 25730


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FAQs on GCF of Fractions of 922/310, 827/830

1. What is the HCF of 922,827?

The HCF of 922,827 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 922/310, 827/830?

Answer: GCF of Numerators as per given numbers 922/310, 827/830 is

GCF of Numerators i.e. for 922,827 is 1

LCM of denominators i.e. for 310,830 is 25730.

Thus, GCF of Fractions is 1/25730.Finally, GCF of Fractions for 922/310, 827/830 is 1/25730.