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GCF of 867/350, 9749/2570

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 867/350, 9749/2570 i.e 1/89950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/350, 9749/2570.

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 867/350,9749/2570?

Given fractions are 867/350,9749/2570

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 867/350,9749/2570, numerators are 867,9749

Denominators are 350,2570

The GCF of 867,9749 is 1 .

LCM of 350,2570 is 89950.

The greatest common factor of 867/350,9749/2570 = [GCF of 867,9749]/[LCM of 350,2570]= 1/89950

Therefore, the GCF of 867/350,9749/2570 is 1/89950.

Greatest Common Factor of 867,9749

To find the highest common factor of 867,9749, we have to find the factors of both numbers and list the highest common factor.

The factors of 867 are 1, 3, 17, 51, 289, 867

The factors of 9749 are 1, 9749

The HCF of 867,9749 is 1.

Lets's calculate GCF of 867,9749

Greatest Common Factor (GCF) of 867,9749 By Common Division

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

Greatest Common Factor of 867,9749 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,9749 By Matching Biggest Common Factor Method

Now, list down the factors of 867

:

1,3,17,51,289,867

Now, list down the factors of 9749

:

1,9749

Greatest Common Factor

We found the factors 867,9749 . The biggest common factor number is the GCF number.
So the greatest common factor 867,9749 is 1.

Lets's calculate LCM of 350,2570

Lowest Common Multiple of 350,2570 using Common Division

2 350, 2570
5 175, 1285
35, 257

∴ So the LCM of the given numbers is 2 x 5 x 35 x 257 = 89950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89950

Therefore, the GCF of Fractions 867/350,9749/2570 is 1/89950

Least Common Multiple of 350,2570 with GCF Formula

Least Common Multiple of 350,2570 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 350,2570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,2570) = 10

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

GCF(350,2570) x common factors =10 x 1 = 10

LCM(350,2570) = ( 350 × 2570 ) / 10

LCM(350,2570) = 899500 / 10

LCM(350,2570) = 89950


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 867/350, 9749/2570

1. What is the HCF of 867,9749?

The HCF of 867,9749 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 867/350, 9749/2570?

Answer: GCF of Numerators as per given numbers 867/350, 9749/2570 is

GCF of Numerators i.e. for 867,9749 is 1

LCM of denominators i.e. for 350,2570 is 89950.

Thus, GCF of Fractions is 1/89950.Finally, GCF of Fractions for 867/350, 9749/2570 is 1/89950.