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GCF of 707/464, 3849/682

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 707/464, 3849/682 i.e 1/158224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/464, 3849/682.

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 707/464,3849/682?

Given fractions are 707/464,3849/682

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 707/464,3849/682, numerators are 707,3849

Denominators are 464,682

The GCF of 707,3849 is 1 .

LCM of 464,682 is 158224.

The greatest common factor of 707/464,3849/682 = [GCF of 707,3849]/[LCM of 464,682]= 1/158224

Therefore, the GCF of 707/464,3849/682 is 1/158224.

Greatest Common Factor of 707,3849

To find the highest common factor of 707,3849, we have to find the factors of both numbers and list the highest common factor.

The factors of 707 are 1, 7, 101, 707

The factors of 3849 are 1, 3, 1283, 3849

The HCF of 707,3849 is 1.

Lets's calculate GCF of 707,3849

Greatest Common Factor (GCF) of 707,3849 By Common Division

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

Greatest Common Factor of 707,3849 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,3849 By Matching Biggest Common Factor Method

Now, list down the factors of 707

:

1,7,101,707

Now, list down the factors of 3849

:

1,3,1283,3849

Greatest Common Factor

We found the factors 707,3849 . The biggest common factor number is the GCF number.
So the greatest common factor 707,3849 is 1.

Lets's calculate LCM of 464,682

Lowest Common Multiple of 464,682 using Common Division

2 464, 682
232, 341

∴ So the LCM of the given numbers is 2 x 232 x 341 = 158224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158224

Therefore, the GCF of Fractions 707/464,3849/682 is 1/158224

Least Common Multiple of 464,682 with GCF Formula

Least Common Multiple of 464,682 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 464,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,682) = 2

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

GCF(464,682) x common factors =2 x 1 = 2

LCM(464,682) = ( 464 × 682 ) / 2

LCM(464,682) = 316448 / 2

LCM(464,682) = 158224


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FAQs on GCF of Fractions of 707/464, 3849/682

1. What is the HCF of 707,3849?

The HCF of 707,3849 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 707/464, 3849/682?

Answer: GCF of Numerators as per given numbers 707/464, 3849/682 is

GCF of Numerators i.e. for 707,3849 is 1

LCM of denominators i.e. for 464,682 is 158224.

Thus, GCF of Fractions is 1/158224.Finally, GCF of Fractions for 707/464, 3849/682 is 1/158224.