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GCF of 1726/935, 9382/2244

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 1726/935, 9382/2244 i.e 2/11220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1726/935, 9382/2244.

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 1726/935,9382/2244?

Given fractions are 1726/935,9382/2244

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 1726/935,9382/2244, numerators are 1726,9382

Denominators are 935,2244

The GCF of 1726,9382 is 2 .

LCM of 935,2244 is 11220.

The greatest common factor of 1726/935,9382/2244 = [GCF of 1726,9382]/[LCM of 935,2244]= 2/11220

Therefore, the GCF of 1726/935,9382/2244 is 2/11220.

Greatest Common Factor of 1726,9382

To find the highest common factor of 1726,9382, we have to find the factors of both numbers and list the highest common factor.

The factors of 1726 are 1, 2, 863, 1726

The factors of 9382 are 1, 2, 4691, 9382

The HCF of 1726,9382 is 2.

Lets's calculate GCF of 1726,9382

Greatest Common Factor (GCF) of 1726,9382 By Common Division

2 1726, 9382
863, 4691

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1726,9382 By Matching Biggest Common Factor Method

Greatest Common Factor of 1726,9382 By Matching Biggest Common Factor Method

Now, list down the factors of 1726

:

1,2,863,1726

Now, list down the factors of 9382

:

1,2,4691,9382

Greatest Common Factor

We found the factors 1726,9382 . The biggest common factor number is the GCF number.
So the greatest common factor 1726,9382 is 2.


Lets's calculate LCM of 935,2244

Lowest Common Multiple of 935,2244 using Common Division

11 935, 2244
17 85, 204
5, 12

∴ So the LCM of the given numbers is 11 x 17 x 5 x 12 = 11220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11220

Therefore, the GCF of Fractions 1726/935,9382/2244 is 2/11220

Least Common Multiple of 935,2244 with GCF Formula

Least Common Multiple of 935,2244 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 935,2244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,2244) = 187

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

GCF(935,2244) x common factors =187 x 1 = 187

LCM(935,2244) = ( 935 × 2244 ) / 187

LCM(935,2244) = 2098140 / 187

LCM(935,2244) = 11220


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1726/935, 9382/2244

1. What is the HCF of 1726,9382?

The HCF of 1726,9382 is 2

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 1726/935, 9382/2244?

Answer: GCF of Numerators as per given numbers 1726/935, 9382/2244 is

GCF of Numerators i.e. for 1726,9382 is 2

LCM of denominators i.e. for 935,2244 is 11220.

Thus, GCF of Fractions is 2/11220.Finally, GCF of Fractions for 1726/935, 9382/2244 is 2/11220.