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GCF of 706/82, 358/9749

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 706/82, 358/9749 i.e 2/799418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/82, 358/9749.

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 706/82,358/9749?

Given fractions are 706/82,358/9749

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 706/82,358/9749, numerators are 706,358

Denominators are 82,9749

The GCF of 706,358 is 2 .

LCM of 82,9749 is 799418.

The greatest common factor of 706/82,358/9749 = [GCF of 706,358]/[LCM of 82,9749]= 2/799418

Therefore, the GCF of 706/82,358/9749 is 2/799418.

Greatest Common Factor of 706,358

To find the highest common factor of 706,358, we have to find the factors of both numbers and list the highest common factor.

The factors of 706 are 1, 2, 353, 706

The factors of 358 are 1, 2, 179, 358

The HCF of 706,358 is 2.

Lets's calculate GCF of 706,358

Greatest Common Factor (GCF) of 706,358 By Common Division

2 706, 358
353, 179

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

Greatest Common Factor of 706,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,358 By Matching Biggest Common Factor Method

Now, list down the factors of 706

:

1,2,353,706

Now, list down the factors of 358

:

1,2,179,358

Greatest Common Factor

We found the factors 706,358 . The biggest common factor number is the GCF number.
So the greatest common factor 706,358 is 2.

Lets's calculate LCM of 82,9749

Lowest Common Multiple of 82,9749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 799418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/799418

Therefore, the GCF of Fractions 706/82,358/9749 is 2/799418

Least Common Multiple of 82,9749 with GCF Formula

Least Common Multiple of 82,9749 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 82,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,9749) = 1

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

GCF(82,9749) x common factors =1 x 1 = 1

LCM(82,9749) = ( 82 × 9749 ) / 1

LCM(82,9749) = 799418 / 1

LCM(82,9749) = 799418


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FAQs on GCF of Fractions of 706/82, 358/9749

1. What is the HCF of 706,358?

The HCF of 706,358 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 706/82, 358/9749?

Answer: GCF of Numerators as per given numbers 706/82, 358/9749 is

GCF of Numerators i.e. for 706,358 is 2

LCM of denominators i.e. for 82,9749 is 799418.

Thus, GCF of Fractions is 2/799418.Finally, GCF of Fractions for 706/82, 358/9749 is 2/799418.