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GCF of 578/44, 374/710

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 578/44, 374/710 i.e 34/15620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 578/44, 374/710.

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 578/44,374/710?

Given fractions are 578/44,374/710

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 578/44,374/710, numerators are 578,374

Denominators are 44,710

The GCF of 578,374 is 34 .

LCM of 44,710 is 15620.

The greatest common factor of 578/44,374/710 = [GCF of 578,374]/[LCM of 44,710]= 34/15620

Therefore, the GCF of 578/44,374/710 is 34/15620.

Greatest Common Factor of 578,374

To find the highest common factor of 578,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 578 are 1, 2, 17, 34, 289, 578

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 578,374 is 34.

Lets's calculate GCF of 578,374

Greatest Common Factor (GCF) of 578,374 By Common Division

2 578, 374
17 289, 187
17, 11

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 578,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,374 By Matching Biggest Common Factor Method

Now, list down the factors of 578

:

1,2,17,34,289,578

Now, list down the factors of 374

:

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 578,374 . The biggest common factor number is the GCF number.
So the greatest common factor 578,374 is 34.

Lets's calculate LCM of 44,710

Lowest Common Multiple of 44,710 using Common Division

2 44, 710
22, 355

∴ So the LCM of the given numbers is 2 x 22 x 355 = 15620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/15620

Therefore, the GCF of Fractions 578/44,374/710 is 34/15620

Least Common Multiple of 44,710 with GCF Formula

Least Common Multiple of 44,710 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 44,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,710) = 2

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

GCF(44,710) x common factors =2 x 1 = 2

LCM(44,710) = ( 44 × 710 ) / 2

LCM(44,710) = 31240 / 2

LCM(44,710) = 15620


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FAQs on GCF of Fractions of 578/44, 374/710

1. What is the HCF of 578,374?

The HCF of 578,374 is 34

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 578/44, 374/710?

Answer: GCF of Numerators as per given numbers 578/44, 374/710 is

GCF of Numerators i.e. for 578,374 is 34

LCM of denominators i.e. for 44,710 is 15620.

Thus, GCF of Fractions is 34/15620.Finally, GCF of Fractions for 578/44, 374/710 is 34/15620.