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GCF of 292/834, 812/410

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 292/834, 812/410 i.e 4/170970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/834, 812/410.

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 292/834,812/410?

Given fractions are 292/834,812/410

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 292/834,812/410, numerators are 292,812

Denominators are 834,410

The GCF of 292,812 is 4 .

LCM of 834,410 is 170970.

The greatest common factor of 292/834,812/410 = [GCF of 292,812]/[LCM of 834,410]= 4/170970

Therefore, the GCF of 292/834,812/410 is 4/170970.

Greatest Common Factor of 292,812

To find the highest common factor of 292,812, we have to find the factors of both numbers and list the highest common factor.

The factors of 292 are 1, 2, 4, 73, 146, 292

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The HCF of 292,812 is 4.

Lets's calculate GCF of 292,812

Greatest Common Factor (GCF) of 292,812 By Common Division

2 292, 812
2 146, 406
73, 203

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 292,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,812 By Matching Biggest Common Factor Method

Now, list down the factors of 292

:

1,2,4,73,146,292

Now, list down the factors of 812

:

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 292,812 . The biggest common factor number is the GCF number.
So the greatest common factor 292,812 is 4.

Lets's calculate LCM of 834,410

Lowest Common Multiple of 834,410 using Common Division

2 834, 410
417, 205

∴ So the LCM of the given numbers is 2 x 417 x 205 = 170970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/170970

Therefore, the GCF of Fractions 292/834,812/410 is 4/170970

Least Common Multiple of 834,410 with GCF Formula

Least Common Multiple of 834,410 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 834,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,410) = 2

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

GCF(834,410) x common factors =2 x 1 = 2

LCM(834,410) = ( 834 × 410 ) / 2

LCM(834,410) = 341940 / 2

LCM(834,410) = 170970


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FAQs on GCF of Fractions of 292/834, 812/410

1. What is the HCF of 292,812?

The HCF of 292,812 is 4

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 292/834, 812/410?

Answer: GCF of Numerators as per given numbers 292/834, 812/410 is

GCF of Numerators i.e. for 292,812 is 4

LCM of denominators i.e. for 834,410 is 170970.

Thus, GCF of Fractions is 4/170970.Finally, GCF of Fractions for 292/834, 812/410 is 4/170970.