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GCF of 292/174, 380/784

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 292/174, 380/784 i.e 4/68208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/174, 380/784.

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 292/174,380/784?

Given fractions are 292/174,380/784

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 292/174,380/784, numerators are 292,380

Denominators are 174,784

The GCF of 292,380 is 4 .

LCM of 174,784 is 68208.

The greatest common factor of 292/174,380/784 = [GCF of 292,380]/[LCM of 174,784]= 4/68208

Therefore, the GCF of 292/174,380/784 is 4/68208.

Greatest Common Factor of 292,380

To find the highest common factor of 292,380, 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 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 292,380 is 4.

Lets's calculate GCF of 292,380

Greatest Common Factor (GCF) of 292,380 By Common Division

2 292, 380
2 146, 190
73, 95

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

Greatest Common Factor of 292,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,380 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 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 292,380 . The biggest common factor number is the GCF number.
So the greatest common factor 292,380 is 4.

Lets's calculate LCM of 174,784

Lowest Common Multiple of 174,784 using Common Division

2 174, 784
87, 392

∴ So the LCM of the given numbers is 2 x 87 x 392 = 68208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/68208

Therefore, the GCF of Fractions 292/174,380/784 is 4/68208

Least Common Multiple of 174,784 with GCF Formula

Least Common Multiple of 174,784 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 174,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,784) = 2

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

GCF(174,784) x common factors =2 x 1 = 2

LCM(174,784) = ( 174 × 784 ) / 2

LCM(174,784) = 136416 / 2

LCM(174,784) = 68208


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FAQs on GCF of Fractions of 292/174, 380/784

1. What is the HCF of 292,380?

The HCF of 292,380 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 292/174, 380/784?

Answer: GCF of Numerators as per given numbers 292/174, 380/784 is

GCF of Numerators i.e. for 292,380 is 4

LCM of denominators i.e. for 174,784 is 68208.

Thus, GCF of Fractions is 4/68208.Finally, GCF of Fractions for 292/174, 380/784 is 4/68208.