How to Find GCF of 6667/900, 6283/175?

GCF of 6667/900, 6283/175

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 6667/900, 6283/175 i.e 1/6300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6667/900, 6283/175.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6667/900,6283/175?

Given fractions are 6667/900,6283/175

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 6667/900,6283/175, numerators are 6667,6283

Denominators are 900,175

The GCF of 6667,6283 is 1 .

LCM of 900,175 is 6300.

The greatest common factor of 6667/900,6283/175 = [GCF of 6667,6283]/[LCM of 900,175]= 1/6300

Therefore, the GCF of 6667/900,6283/175 is 1/6300.

Greatest Common Factor of 6667,6283

To find the highest common factor of 6667,6283, we have to find the factors of both numbers and list the highest common factor.

The factors of 6667 are 1, 59, 113, 6667

The factors of 6283 are 1, 61, 103, 6283

The HCF of 6667,6283 is 1.

Lets's calculate GCF of 6667,6283

Greatest Common Factor (GCF) of 6667,6283 By Common Division

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

Greatest Common Factor of 6667,6283 By Matching Biggest Common Factor Method

Now, list down the factors of 6667

1,59,113,6667

Now, list down the factors of 6283

1,61,103,6283

Greatest Common Factor

We found the factors 6667,6283 . The biggest common factor number is the GCF number.
So the greatest common factor 6667,6283 is 1.

Lets's calculate LCM of 900,175

Lowest Common Multiple of 900,175 using Common Division

5	900, 175
5	180, 35
	36, 7

∴ So the LCM of the given numbers is 5 x 5 x 36 x 7 = 6300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6300

Therefore, the GCF of Fractions 6667/900,6283/175 is 1/6300

Least Common Multiple of 900,175 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 900,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,175) = 25

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

GCF(900,175) x common factors =25 x 1 = 25

LCM(900,175) = ( 900 × 175 ) / 25

LCM(900,175) = 157500 / 25

LCM(900,175) = 6300

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FAQs on GCF of Fractions of 6667/900, 6283/175

1. What is the HCF of 6667,6283?

The HCF of 6667,6283 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 6667/900, 6283/175?

Answer: GCF of Numerators as per given numbers 6667/900, 6283/175 is

GCF of Numerators i.e. for 6667,6283 is 1

LCM of denominators i.e. for 900,175 is 6300.

Thus, GCF of Fractions is 1/6300.Finally, GCF of Fractions for 6667/900, 6283/175 is 1/6300.