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GCF of 733/410, 972/292

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 733/410, 972/292 i.e 1/59860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/410, 972/292.

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 733/410,972/292?

Given fractions are 733/410,972/292

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 733/410,972/292, numerators are 733,972

Denominators are 410,292

The GCF of 733,972 is 1 .

LCM of 410,292 is 59860.

The greatest common factor of 733/410,972/292 = [GCF of 733,972]/[LCM of 410,292]= 1/59860

Therefore, the GCF of 733/410,972/292 is 1/59860.

Greatest Common Factor of 733,972

To find the highest common factor of 733,972, we have to find the factors of both numbers and list the highest common factor.

The factors of 733 are 1, 733

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

The HCF of 733,972 is 1.

Lets's calculate GCF of 733,972

Greatest Common Factor (GCF) of 733,972 By Common Division

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

Greatest Common Factor of 733,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,972 By Matching Biggest Common Factor Method

Now, list down the factors of 733

:

1,733

Now, list down the factors of 972

:

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 733,972 . The biggest common factor number is the GCF number.
So the greatest common factor 733,972 is 1.

Lets's calculate LCM of 410,292

Lowest Common Multiple of 410,292 using Common Division

2 410, 292
205, 146

∴ So the LCM of the given numbers is 2 x 205 x 146 = 59860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59860

Therefore, the GCF of Fractions 733/410,972/292 is 1/59860

Least Common Multiple of 410,292 with GCF Formula

Least Common Multiple of 410,292 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 410,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,292) = 2

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

GCF(410,292) x common factors =2 x 1 = 2

LCM(410,292) = ( 410 × 292 ) / 2

LCM(410,292) = 119720 / 2

LCM(410,292) = 59860


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FAQs on GCF of Fractions of 733/410, 972/292

1. What is the HCF of 733,972?

The HCF of 733,972 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 733/410, 972/292?

Answer: GCF of Numerators as per given numbers 733/410, 972/292 is

GCF of Numerators i.e. for 733,972 is 1

LCM of denominators i.e. for 410,292 is 59860.

Thus, GCF of Fractions is 1/59860.Finally, GCF of Fractions for 733/410, 972/292 is 1/59860.