How to Find GCF of 3490/148, 4381/644?

GCF of 3490/148, 4381/644

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 3490/148, 4381/644 i.e 1/23828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3490/148, 4381/644.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3490/148,4381/644?

Given fractions are 3490/148,4381/644

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 3490/148,4381/644, numerators are 3490,4381

Denominators are 148,644

The GCF of 3490,4381 is 1 .

LCM of 148,644 is 23828.

The greatest common factor of 3490/148,4381/644 = [GCF of 3490,4381]/[LCM of 148,644]= 1/23828

Therefore, the GCF of 3490/148,4381/644 is 1/23828.

Greatest Common Factor of 3490,4381

To find the highest common factor of 3490,4381, we have to find the factors of both numbers and list the highest common factor.

The factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490

The factors of 4381 are 1, 13, 337, 4381

The HCF of 3490,4381 is 1.

Lets's calculate GCF of 3490,4381

Greatest Common Factor (GCF) of 3490,4381 By Common Division

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

Greatest Common Factor of 3490,4381 By Matching Biggest Common Factor Method

Now, list down the factors of 3490

1,2,5,10,349,698,1745,3490

Now, list down the factors of 4381

1,13,337,4381

Greatest Common Factor

We found the factors 3490,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 3490,4381 is 1.

Lets's calculate LCM of 148,644

Lowest Common Multiple of 148,644 using Common Division

2	148, 644
2	74, 322
	37, 161

∴ So the LCM of the given numbers is 2 x 2 x 37 x 161 = 23828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23828

Therefore, the GCF of Fractions 3490/148,4381/644 is 1/23828

Least Common Multiple of 148,644 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 148,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,644) = 4

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

GCF(148,644) x common factors =4 x 1 = 4

LCM(148,644) = ( 148 × 644 ) / 4

LCM(148,644) = 95312 / 4

LCM(148,644) = 23828

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FAQs on GCF of Fractions of 3490/148, 4381/644

1. What is the HCF of 3490,4381?

The HCF of 3490,4381 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 3490/148, 4381/644?

Answer: GCF of Numerators as per given numbers 3490/148, 4381/644 is

GCF of Numerators i.e. for 3490,4381 is 1

LCM of denominators i.e. for 148,644 is 23828.

Thus, GCF of Fractions is 1/23828.Finally, GCF of Fractions for 3490/148, 4381/644 is 1/23828.