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GCF of 33/696, 31/7236

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 33/696, 31/7236 i.e 1/419688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/696, 31/7236.

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 33/696,31/7236?

Given fractions are 33/696,31/7236

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 33/696,31/7236, numerators are 33,31

Denominators are 696,7236

The GCF of 33,31 is 1 .

LCM of 696,7236 is 419688.

The greatest common factor of 33/696,31/7236 = [GCF of 33,31]/[LCM of 696,7236]= 1/419688

Therefore, the GCF of 33/696,31/7236 is 1/419688.

Greatest Common Factor of 33,31

To find the highest common factor of 33,31, we have to find the factors of both numbers and list the highest common factor.

The factors of 33 are 1, 3, 11, 33

The factors of 31 are 1, 31

The HCF of 33,31 is 1.

Lets's calculate GCF of 33,31

Greatest Common Factor (GCF) of 33,31 By Common Division

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

Greatest Common Factor of 33,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,31 By Matching Biggest Common Factor Method

Now, list down the factors of 33

:

1,3,11,33

Now, list down the factors of 31

:

1,31

Greatest Common Factor

We found the factors 33,31 . The biggest common factor number is the GCF number.
So the greatest common factor 33,31 is 1.

Lets's calculate LCM of 696,7236

Lowest Common Multiple of 696,7236 using Common Division

2 696, 7236
2 348, 3618
3 174, 1809
58, 603

∴ So the LCM of the given numbers is 2 x 2 x 3 x 58 x 603 = 419688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419688

Therefore, the GCF of Fractions 33/696,31/7236 is 1/419688

Least Common Multiple of 696,7236 with GCF Formula

Least Common Multiple of 696,7236 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 696,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,7236) = 12

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

GCF(696,7236) x common factors =12 x 1 = 12

LCM(696,7236) = ( 696 × 7236 ) / 12

LCM(696,7236) = 5036256 / 12

LCM(696,7236) = 419688


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FAQs on GCF of Fractions of 33/696, 31/7236

1. What is the HCF of 33,31?

The HCF of 33,31 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 33/696, 31/7236?

Answer: GCF of Numerators as per given numbers 33/696, 31/7236 is

GCF of Numerators i.e. for 33,31 is 1

LCM of denominators i.e. for 696,7236 is 419688.

Thus, GCF of Fractions is 1/419688.Finally, GCF of Fractions for 33/696, 31/7236 is 1/419688.