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GCF of 153/79, 705/556

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 153/79, 705/556 i.e 3/43924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/79, 705/556.

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 153/79,705/556?

Given fractions are 153/79,705/556

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 153/79,705/556, numerators are 153,705

Denominators are 79,556

The GCF of 153,705 is 3 .

LCM of 79,556 is 43924.

The greatest common factor of 153/79,705/556 = [GCF of 153,705]/[LCM of 79,556]= 3/43924

Therefore, the GCF of 153/79,705/556 is 3/43924.

Greatest Common Factor of 153,705

To find the highest common factor of 153,705, we have to find the factors of both numbers and list the highest common factor.

The factors of 153 are 1, 3, 9, 17, 51, 153

The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705

The HCF of 153,705 is 3.

Lets's calculate GCF of 153,705

Greatest Common Factor (GCF) of 153,705 By Common Division

3 153, 705
51, 235

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 153,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,705 By Matching Biggest Common Factor Method

Now, list down the factors of 153

:

1,3,9,17,51,153

Now, list down the factors of 705

:

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 153,705 . The biggest common factor number is the GCF number.
So the greatest common factor 153,705 is 3.

Lets's calculate LCM of 79,556

Lowest Common Multiple of 79,556 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 43924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43924

Therefore, the GCF of Fractions 153/79,705/556 is 3/43924

Least Common Multiple of 79,556 with GCF Formula

Least Common Multiple of 79,556 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 79,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,556) = 1

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

GCF(79,556) x common factors =1 x 1 = 1

LCM(79,556) = ( 79 × 556 ) / 1

LCM(79,556) = 43924 / 1

LCM(79,556) = 43924


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FAQs on GCF of Fractions of 153/79, 705/556

1. What is the HCF of 153,705?

The HCF of 153,705 is 3

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 153/79, 705/556?

Answer: GCF of Numerators as per given numbers 153/79, 705/556 is

GCF of Numerators i.e. for 153,705 is 3

LCM of denominators i.e. for 79,556 is 43924.

Thus, GCF of Fractions is 3/43924.Finally, GCF of Fractions for 153/79, 705/556 is 3/43924.