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GCF of 296/430, 380/594

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 296/430, 380/594 i.e 4/127710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/430, 380/594.

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 296/430,380/594?

Given fractions are 296/430,380/594

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 296/430,380/594, numerators are 296,380

Denominators are 430,594

The GCF of 296,380 is 4 .

LCM of 430,594 is 127710.

The greatest common factor of 296/430,380/594 = [GCF of 296,380]/[LCM of 430,594]= 4/127710

Therefore, the GCF of 296/430,380/594 is 4/127710.

Greatest Common Factor of 296,380

To find the highest common factor of 296,380, we have to find the factors of both numbers and list the highest common factor.

The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 296,380 is 4.

Lets's calculate GCF of 296,380

Greatest Common Factor (GCF) of 296,380 By Common Division

2 296, 380
2 148, 190
74, 95

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

Greatest Common Factor of 296,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,380 By Matching Biggest Common Factor Method

Now, list down the factors of 296

:

1,2,4,8,37,74,148,296

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 296,380 . The biggest common factor number is the GCF number.
So the greatest common factor 296,380 is 4.

Lets's calculate LCM of 430,594

Lowest Common Multiple of 430,594 using Common Division

2 430, 594
215, 297

∴ So the LCM of the given numbers is 2 x 215 x 297 = 127710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/127710

Therefore, the GCF of Fractions 296/430,380/594 is 4/127710

Least Common Multiple of 430,594 with GCF Formula

Least Common Multiple of 430,594 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 430,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,594) = 2

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

GCF(430,594) x common factors =2 x 1 = 2

LCM(430,594) = ( 430 × 594 ) / 2

LCM(430,594) = 255420 / 2

LCM(430,594) = 127710


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FAQs on GCF of Fractions of 296/430, 380/594

1. What is the HCF of 296,380?

The HCF of 296,380 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 296/430, 380/594?

Answer: GCF of Numerators as per given numbers 296/430, 380/594 is

GCF of Numerators i.e. for 296,380 is 4

LCM of denominators i.e. for 430,594 is 127710.

Thus, GCF of Fractions is 4/127710.Finally, GCF of Fractions for 296/430, 380/594 is 4/127710.