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GCF of 930/942, 269/440

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 930/942, 269/440 i.e 1/207240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/942, 269/440.

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 930/942,269/440?

Given fractions are 930/942,269/440

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 930/942,269/440, numerators are 930,269

Denominators are 942,440

The GCF of 930,269 is 1 .

LCM of 942,440 is 207240.

The greatest common factor of 930/942,269/440 = [GCF of 930,269]/[LCM of 942,440]= 1/207240

Therefore, the GCF of 930/942,269/440 is 1/207240.

Greatest Common Factor of 930,269

To find the highest common factor of 930,269, we have to find the factors of both numbers and list the highest common factor.

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

The factors of 269 are 1, 269

The HCF of 930,269 is 1.

Lets's calculate GCF of 930,269

Greatest Common Factor (GCF) of 930,269 By Common Division

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

Greatest Common Factor of 930,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,269 By Matching Biggest Common Factor Method

Now, list down the factors of 930

:

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Now, list down the factors of 269

:

1,269

Greatest Common Factor

We found the factors 930,269 . The biggest common factor number is the GCF number.
So the greatest common factor 930,269 is 1.

Lets's calculate LCM of 942,440

Lowest Common Multiple of 942,440 using Common Division

2 942, 440
471, 220

∴ So the LCM of the given numbers is 2 x 471 x 220 = 207240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207240

Therefore, the GCF of Fractions 930/942,269/440 is 1/207240

Least Common Multiple of 942,440 with GCF Formula

Least Common Multiple of 942,440 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 942,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,440) = 2

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

GCF(942,440) x common factors =2 x 1 = 2

LCM(942,440) = ( 942 × 440 ) / 2

LCM(942,440) = 414480 / 2

LCM(942,440) = 207240


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FAQs on GCF of Fractions of 930/942, 269/440

1. What is the HCF of 930,269?

The HCF of 930,269 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 930/942, 269/440?

Answer: GCF of Numerators as per given numbers 930/942, 269/440 is

GCF of Numerators i.e. for 930,269 is 1

LCM of denominators i.e. for 942,440 is 207240.

Thus, GCF of Fractions is 1/207240.Finally, GCF of Fractions for 930/942, 269/440 is 1/207240.