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GCF of 742/17, 786/570

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 742/17, 786/570 i.e 2/9690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 742/17, 786/570.

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 742/17,786/570?

Given fractions are 742/17,786/570

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 742/17,786/570, numerators are 742,786

Denominators are 17,570

The GCF of 742,786 is 2 .

LCM of 17,570 is 9690.

The greatest common factor of 742/17,786/570 = [GCF of 742,786]/[LCM of 17,570]= 2/9690

Therefore, the GCF of 742/17,786/570 is 2/9690.

Greatest Common Factor of 742,786

To find the highest common factor of 742,786, we have to find the factors of both numbers and list the highest common factor.

The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 742,786 is 2.

Lets's calculate GCF of 742,786

Greatest Common Factor (GCF) of 742,786 By Common Division

2 742, 786
371, 393

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 742,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,786 By Matching Biggest Common Factor Method

Now, list down the factors of 742

:

1,2,7,14,53,106,371,742

Now, list down the factors of 786

:

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 742,786 . The biggest common factor number is the GCF number.
So the greatest common factor 742,786 is 2.

Lets's calculate LCM of 17,570

Lowest Common Multiple of 17,570 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9690

Therefore, the GCF of Fractions 742/17,786/570 is 2/9690

Least Common Multiple of 17,570 with GCF Formula

Least Common Multiple of 17,570 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 17,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,570) = 1

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

GCF(17,570) x common factors =1 x 1 = 1

LCM(17,570) = ( 17 × 570 ) / 1

LCM(17,570) = 9690 / 1

LCM(17,570) = 9690


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 742/17, 786/570

1. What is the HCF of 742,786?

The HCF of 742,786 is 2

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 742/17, 786/570?

Answer: GCF of Numerators as per given numbers 742/17, 786/570 is

GCF of Numerators i.e. for 742,786 is 2

LCM of denominators i.e. for 17,570 is 9690.

Thus, GCF of Fractions is 2/9690.Finally, GCF of Fractions for 742/17, 786/570 is 2/9690.