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GCF of 707/28, 239/448

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 707/28, 239/448 i.e 1/448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/28, 239/448.

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 707/28,239/448?

Given fractions are 707/28,239/448

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 707/28,239/448, numerators are 707,239

Denominators are 28,448

The GCF of 707,239 is 1 .

LCM of 28,448 is 448.

The greatest common factor of 707/28,239/448 = [GCF of 707,239]/[LCM of 28,448]= 1/448

Therefore, the GCF of 707/28,239/448 is 1/448.

Greatest Common Factor of 707,239

To find the highest common factor of 707,239, 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 239 are 1, 239

The HCF of 707,239 is 1.

Lets's calculate GCF of 707,239

Greatest Common Factor (GCF) of 707,239 By Common Division

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

Greatest Common Factor of 707,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,239 By Matching Biggest Common Factor Method

Now, list down the factors of 707

:

1,7,101,707

Now, list down the factors of 239

:

1,239

Greatest Common Factor

We found the factors 707,239 . The biggest common factor number is the GCF number.
So the greatest common factor 707,239 is 1.

Lets's calculate LCM of 28,448

Lowest Common Multiple of 28,448 using Common Division

2 28, 448
2 14, 224
7 7, 112
1, 16

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 16 = 448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448

Therefore, the GCF of Fractions 707/28,239/448 is 1/448

Least Common Multiple of 28,448 with GCF Formula

Least Common Multiple of 28,448 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 28,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,448) = 28

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

GCF(28,448) x common factors =28 x 1 = 28

LCM(28,448) = ( 28 × 448 ) / 28

LCM(28,448) = 12544 / 28

LCM(28,448) = 448


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FAQs on GCF of Fractions of 707/28, 239/448

1. What is the HCF of 707,239?

The HCF of 707,239 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 707/28, 239/448?

Answer: GCF of Numerators as per given numbers 707/28, 239/448 is

GCF of Numerators i.e. for 707,239 is 1

LCM of denominators i.e. for 28,448 is 448.

Thus, GCF of Fractions is 1/448.Finally, GCF of Fractions for 707/28, 239/448 is 1/448.