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GCF of 4935/152, 5969/5913

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 4935/152, 5969/5913 i.e 47/898776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4935/152, 5969/5913.

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 4935/152,5969/5913?

Given fractions are 4935/152,5969/5913

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 4935/152,5969/5913, numerators are 4935,5969

Denominators are 152,5913

The GCF of 4935,5969 is 47 .

LCM of 152,5913 is 898776.

The greatest common factor of 4935/152,5969/5913 = [GCF of 4935,5969]/[LCM of 152,5913]= 47/898776

Therefore, the GCF of 4935/152,5969/5913 is 47/898776.

Greatest Common Factor of 4935,5969

To find the highest common factor of 4935,5969, we have to find the factors of both numbers and list the highest common factor.

The factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935

The factors of 5969 are 1, 47, 127, 5969

The HCF of 4935,5969 is 47.

Lets's calculate GCF of 4935,5969

Greatest Common Factor (GCF) of 4935,5969 By Common Division

47 4935, 5969
105, 127

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 4935,5969 By Matching Biggest Common Factor Method

Greatest Common Factor of 4935,5969 By Matching Biggest Common Factor Method

Now, list down the factors of 4935

:

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Now, list down the factors of 5969

:

1,47,127,5969

Greatest Common Factor

We found the factors 4935,5969 . The biggest common factor number is the GCF number.
So the greatest common factor 4935,5969 is 47.


Lets's calculate LCM of 152,5913

Lowest Common Multiple of 152,5913 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 898776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/898776

Therefore, the GCF of Fractions 4935/152,5969/5913 is 47/898776

Least Common Multiple of 152,5913 with GCF Formula

Least Common Multiple of 152,5913 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 152,5913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,5913) = 1

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

GCF(152,5913) x common factors =1 x 1 = 1

LCM(152,5913) = ( 152 × 5913 ) / 1

LCM(152,5913) = 898776 / 1

LCM(152,5913) = 898776


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4935/152, 5969/5913

1. What is the HCF of 4935,5969?

The HCF of 4935,5969 is 47

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 4935/152, 5969/5913?

Answer: GCF of Numerators as per given numbers 4935/152, 5969/5913 is

GCF of Numerators i.e. for 4935,5969 is 47

LCM of denominators i.e. for 152,5913 is 898776.

Thus, GCF of Fractions is 47/898776.Finally, GCF of Fractions for 4935/152, 5969/5913 is 47/898776.