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GCF of 350/23, 370/2894

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 350/23, 370/2894 i.e 10/66562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/23, 370/2894.

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 350/23,370/2894?

Given fractions are 350/23,370/2894

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 350/23,370/2894, numerators are 350,370

Denominators are 23,2894

The GCF of 350,370 is 10 .

LCM of 23,2894 is 66562.

The greatest common factor of 350/23,370/2894 = [GCF of 350,370]/[LCM of 23,2894]= 10/66562

Therefore, the GCF of 350/23,370/2894 is 10/66562.

Greatest Common Factor of 350,370

To find the highest common factor of 350,370, we have to find the factors of both numbers and list the highest common factor.

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 350,370 is 10.

Lets's calculate GCF of 350,370

Greatest Common Factor (GCF) of 350,370 By Common Division

2 350, 370
5 175, 185
35, 37

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 350,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,370 By Matching Biggest Common Factor Method

Now, list down the factors of 350

:

1,2,5,7,10,14,25,35,50,70,175,350

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 350,370 . The biggest common factor number is the GCF number.
So the greatest common factor 350,370 is 10.

Lets's calculate LCM of 23,2894

Lowest Common Multiple of 23,2894 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 66562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/66562

Therefore, the GCF of Fractions 350/23,370/2894 is 10/66562

Least Common Multiple of 23,2894 with GCF Formula

Least Common Multiple of 23,2894 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 23,2894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,2894) = 1

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

GCF(23,2894) x common factors =1 x 1 = 1

LCM(23,2894) = ( 23 × 2894 ) / 1

LCM(23,2894) = 66562 / 1

LCM(23,2894) = 66562


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 350/23, 370/2894

1. What is the HCF of 350,370?

The HCF of 350,370 is 10

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 350/23, 370/2894?

Answer: GCF of Numerators as per given numbers 350/23, 370/2894 is

GCF of Numerators i.e. for 350,370 is 10

LCM of denominators i.e. for 23,2894 is 66562.

Thus, GCF of Fractions is 10/66562.Finally, GCF of Fractions for 350/23, 370/2894 is 10/66562.