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GCF of 934/308, 2792/764

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 934/308, 2792/764 i.e 2/58828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/308, 2792/764.

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 934/308,2792/764?

Given fractions are 934/308,2792/764

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 934/308,2792/764, numerators are 934,2792

Denominators are 308,764

The GCF of 934,2792 is 2 .

LCM of 308,764 is 58828.

The greatest common factor of 934/308,2792/764 = [GCF of 934,2792]/[LCM of 308,764]= 2/58828

Therefore, the GCF of 934/308,2792/764 is 2/58828.

Greatest Common Factor of 934,2792

To find the highest common factor of 934,2792, we have to find the factors of both numbers and list the highest common factor.

The factors of 934 are 1, 2, 467, 934

The factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792

The HCF of 934,2792 is 2.

Lets's calculate GCF of 934,2792

Greatest Common Factor (GCF) of 934,2792 By Common Division

2 934, 2792
467, 1396

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

Greatest Common Factor of 934,2792 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,2792 By Matching Biggest Common Factor Method

Now, list down the factors of 934

:

1,2,467,934

Now, list down the factors of 2792

:

1,2,4,8,349,698,1396,2792

Greatest Common Factor

We found the factors 934,2792 . The biggest common factor number is the GCF number.
So the greatest common factor 934,2792 is 2.

Lets's calculate LCM of 308,764

Lowest Common Multiple of 308,764 using Common Division

2 308, 764
2 154, 382
77, 191

∴ So the LCM of the given numbers is 2 x 2 x 77 x 191 = 58828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58828

Therefore, the GCF of Fractions 934/308,2792/764 is 2/58828

Least Common Multiple of 308,764 with GCF Formula

Least Common Multiple of 308,764 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 308,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,764) = 4

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

GCF(308,764) x common factors =4 x 1 = 4

LCM(308,764) = ( 308 × 764 ) / 4

LCM(308,764) = 235312 / 4

LCM(308,764) = 58828


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FAQs on GCF of Fractions of 934/308, 2792/764

1. What is the HCF of 934,2792?

The HCF of 934,2792 is 2

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 934/308, 2792/764?

Answer: GCF of Numerators as per given numbers 934/308, 2792/764 is

GCF of Numerators i.e. for 934,2792 is 2

LCM of denominators i.e. for 308,764 is 58828.

Thus, GCF of Fractions is 2/58828.Finally, GCF of Fractions for 934/308, 2792/764 is 2/58828.