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GCF of 723/196, 470/862

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 723/196, 470/862 i.e 1/84476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 723/196, 470/862.

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 723/196,470/862?

Given fractions are 723/196,470/862

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 723/196,470/862, numerators are 723,470

Denominators are 196,862

The GCF of 723,470 is 1 .

LCM of 196,862 is 84476.

The greatest common factor of 723/196,470/862 = [GCF of 723,470]/[LCM of 196,862]= 1/84476

Therefore, the GCF of 723/196,470/862 is 1/84476.

Greatest Common Factor of 723,470

To find the highest common factor of 723,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 723 are 1, 3, 241, 723

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 723,470 is 1.

Lets's calculate GCF of 723,470

Greatest Common Factor (GCF) of 723,470 By Common Division

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

Greatest Common Factor of 723,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,470 By Matching Biggest Common Factor Method

Now, list down the factors of 723

:

1,3,241,723

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 723,470 . The biggest common factor number is the GCF number.
So the greatest common factor 723,470 is 1.

Lets's calculate LCM of 196,862

Lowest Common Multiple of 196,862 using Common Division

2 196, 862
98, 431

∴ So the LCM of the given numbers is 2 x 98 x 431 = 84476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84476

Therefore, the GCF of Fractions 723/196,470/862 is 1/84476

Least Common Multiple of 196,862 with GCF Formula

Least Common Multiple of 196,862 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 196,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,862) = 2

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

GCF(196,862) x common factors =2 x 1 = 2

LCM(196,862) = ( 196 × 862 ) / 2

LCM(196,862) = 168952 / 2

LCM(196,862) = 84476


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FAQs on GCF of Fractions of 723/196, 470/862

1. What is the HCF of 723,470?

The HCF of 723,470 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 723/196, 470/862?

Answer: GCF of Numerators as per given numbers 723/196, 470/862 is

GCF of Numerators i.e. for 723,470 is 1

LCM of denominators i.e. for 196,862 is 84476.

Thus, GCF of Fractions is 1/84476.Finally, GCF of Fractions for 723/196, 470/862 is 1/84476.