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GCF of 175/28, 569/714

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 175/28, 569/714 i.e 1/1428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 175/28, 569/714.

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 175/28,569/714?

Given fractions are 175/28,569/714

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 175/28,569/714, numerators are 175,569

Denominators are 28,714

The GCF of 175,569 is 1 .

LCM of 28,714 is 1428.

The greatest common factor of 175/28,569/714 = [GCF of 175,569]/[LCM of 28,714]= 1/1428

Therefore, the GCF of 175/28,569/714 is 1/1428.

Greatest Common Factor of 175,569

To find the highest common factor of 175,569, we have to find the factors of both numbers and list the highest common factor.

The factors of 175 are 1, 5, 7, 25, 35, 175

The factors of 569 are 1, 569

The HCF of 175,569 is 1.

Lets's calculate GCF of 175,569

Greatest Common Factor (GCF) of 175,569 By Common Division

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

Greatest Common Factor of 175,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,569 By Matching Biggest Common Factor Method

Now, list down the factors of 175

:

1,5,7,25,35,175

Now, list down the factors of 569

:

1,569

Greatest Common Factor

We found the factors 175,569 . The biggest common factor number is the GCF number.
So the greatest common factor 175,569 is 1.

Lets's calculate LCM of 28,714

Lowest Common Multiple of 28,714 using Common Division

2 28, 714
7 14, 357
2, 51

∴ So the LCM of the given numbers is 2 x 7 x 2 x 51 = 1428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428

Therefore, the GCF of Fractions 175/28,569/714 is 1/1428

Least Common Multiple of 28,714 with GCF Formula

Least Common Multiple of 28,714 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 28,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,714) = 14

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

GCF(28,714) x common factors =14 x 1 = 14

LCM(28,714) = ( 28 × 714 ) / 14

LCM(28,714) = 19992 / 14

LCM(28,714) = 1428


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FAQs on GCF of Fractions of 175/28, 569/714

1. What is the HCF of 175,569?

The HCF of 175,569 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 175/28, 569/714?

Answer: GCF of Numerators as per given numbers 175/28, 569/714 is

GCF of Numerators i.e. for 175,569 is 1

LCM of denominators i.e. for 28,714 is 1428.

Thus, GCF of Fractions is 1/1428.Finally, GCF of Fractions for 175/28, 569/714 is 1/1428.