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GCF of 373/134, 416/590

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 373/134, 416/590 i.e 1/39530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/134, 416/590.

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 373/134,416/590?

Given fractions are 373/134,416/590

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 373/134,416/590, numerators are 373,416

Denominators are 134,590

The GCF of 373,416 is 1 .

LCM of 134,590 is 39530.

The greatest common factor of 373/134,416/590 = [GCF of 373,416]/[LCM of 134,590]= 1/39530

Therefore, the GCF of 373/134,416/590 is 1/39530.

Greatest Common Factor of 373,416

To find the highest common factor of 373,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 373 are 1, 373

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 373,416 is 1.

Lets's calculate GCF of 373,416

Greatest Common Factor (GCF) of 373,416 By Common Division

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

Greatest Common Factor of 373,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,416 By Matching Biggest Common Factor Method

Now, list down the factors of 373

:

1,373

Now, list down the factors of 416

:

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 373,416 . The biggest common factor number is the GCF number.
So the greatest common factor 373,416 is 1.

Lets's calculate LCM of 134,590

Lowest Common Multiple of 134,590 using Common Division

2 134, 590
67, 295

∴ So the LCM of the given numbers is 2 x 67 x 295 = 39530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39530

Therefore, the GCF of Fractions 373/134,416/590 is 1/39530

Least Common Multiple of 134,590 with GCF Formula

Least Common Multiple of 134,590 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 134,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,590) = 2

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

GCF(134,590) x common factors =2 x 1 = 2

LCM(134,590) = ( 134 × 590 ) / 2

LCM(134,590) = 79060 / 2

LCM(134,590) = 39530


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FAQs on GCF of Fractions of 373/134, 416/590

1. What is the HCF of 373,416?

The HCF of 373,416 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 373/134, 416/590?

Answer: GCF of Numerators as per given numbers 373/134, 416/590 is

GCF of Numerators i.e. for 373,416 is 1

LCM of denominators i.e. for 134,590 is 39530.

Thus, GCF of Fractions is 1/39530.Finally, GCF of Fractions for 373/134, 416/590 is 1/39530.