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GCF of 136/401, 4930/148

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 136/401, 4930/148 i.e 34/59348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 136/401, 4930/148.

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 136/401,4930/148?

Given fractions are 136/401,4930/148

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 136/401,4930/148, numerators are 136,4930

Denominators are 401,148

The GCF of 136,4930 is 34 .

LCM of 401,148 is 59348.

The greatest common factor of 136/401,4930/148 = [GCF of 136,4930]/[LCM of 401,148]= 34/59348

Therefore, the GCF of 136/401,4930/148 is 34/59348.

Greatest Common Factor of 136,4930

To find the highest common factor of 136,4930, we have to find the factors of both numbers and list the highest common factor.

The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136

The factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930

The HCF of 136,4930 is 34.

Lets's calculate GCF of 136,4930

Greatest Common Factor (GCF) of 136,4930 By Common Division

2 136, 4930
17 68, 2465
4, 145

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

Greatest Common Factor of 136,4930 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,4930 By Matching Biggest Common Factor Method

Now, list down the factors of 136

:

1,2,4,8,17,34,68,136

Now, list down the factors of 4930

:

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Greatest Common Factor

We found the factors 136,4930 . The biggest common factor number is the GCF number.
So the greatest common factor 136,4930 is 34.


Lets's calculate LCM of 401,148

Lowest Common Multiple of 401,148 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/59348

Therefore, the GCF of Fractions 136/401,4930/148 is 34/59348

Least Common Multiple of 401,148 with GCF Formula

Least Common Multiple of 401,148 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 401,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,148) = 1

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

GCF(401,148) x common factors =1 x 1 = 1

LCM(401,148) = ( 401 × 148 ) / 1

LCM(401,148) = 59348 / 1

LCM(401,148) = 59348


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 136/401, 4930/148

1. What is the HCF of 136,4930?

The HCF of 136,4930 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 136/401, 4930/148?

Answer: GCF of Numerators as per given numbers 136/401, 4930/148 is

GCF of Numerators i.e. for 136,4930 is 34

LCM of denominators i.e. for 401,148 is 59348.

Thus, GCF of Fractions is 34/59348.Finally, GCF of Fractions for 136/401, 4930/148 is 34/59348.