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GCF of 623/932, 688/232

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 623/932, 688/232 i.e 1/54056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/932, 688/232.

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 623/932,688/232?

Given fractions are 623/932,688/232

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 623/932,688/232, numerators are 623,688

Denominators are 932,232

The GCF of 623,688 is 1 .

LCM of 932,232 is 54056.

The greatest common factor of 623/932,688/232 = [GCF of 623,688]/[LCM of 932,232]= 1/54056

Therefore, the GCF of 623/932,688/232 is 1/54056.

Greatest Common Factor of 623,688

To find the highest common factor of 623,688, we have to find the factors of both numbers and list the highest common factor.

The factors of 623 are 1, 7, 89, 623

The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

The HCF of 623,688 is 1.

Lets's calculate GCF of 623,688

Greatest Common Factor (GCF) of 623,688 By Common Division

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

Greatest Common Factor of 623,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,688 By Matching Biggest Common Factor Method

Now, list down the factors of 623

:

1,7,89,623

Now, list down the factors of 688

:

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 623,688 . The biggest common factor number is the GCF number.
So the greatest common factor 623,688 is 1.

Lets's calculate LCM of 932,232

Lowest Common Multiple of 932,232 using Common Division

2 932, 232
2 466, 116
233, 58

∴ So the LCM of the given numbers is 2 x 2 x 233 x 58 = 54056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54056

Therefore, the GCF of Fractions 623/932,688/232 is 1/54056

Least Common Multiple of 932,232 with GCF Formula

Least Common Multiple of 932,232 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 932,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,232) = 4

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

GCF(932,232) x common factors =4 x 1 = 4

LCM(932,232) = ( 932 × 232 ) / 4

LCM(932,232) = 216224 / 4

LCM(932,232) = 54056


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FAQs on GCF of Fractions of 623/932, 688/232

1. What is the HCF of 623,688?

The HCF of 623,688 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 623/932, 688/232?

Answer: GCF of Numerators as per given numbers 623/932, 688/232 is

GCF of Numerators i.e. for 623,688 is 1

LCM of denominators i.e. for 932,232 is 54056.

Thus, GCF of Fractions is 1/54056.Finally, GCF of Fractions for 623/932, 688/232 is 1/54056.