How to Find GCF of 1232/373, 6380/1744?

GCF of 1232/373, 6380/1744

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 1232/373, 6380/1744 i.e 44/650512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1232/373, 6380/1744.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1232/373,6380/1744?

Given fractions are 1232/373,6380/1744

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 1232/373,6380/1744, numerators are 1232,6380

Denominators are 373,1744

The GCF of 1232,6380 is 44 .

LCM of 373,1744 is 650512.

The greatest common factor of 1232/373,6380/1744 = [GCF of 1232,6380]/[LCM of 373,1744]= 44/650512

Therefore, the GCF of 1232/373,6380/1744 is 44/650512.

Greatest Common Factor of 1232,6380

To find the highest common factor of 1232,6380, we have to find the factors of both numbers and list the highest common factor.

The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

The factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380

The HCF of 1232,6380 is 44.

Lets's calculate GCF of 1232,6380

Greatest Common Factor (GCF) of 1232,6380 By Common Division

2	1232, 6380
2	616, 3190
11	308, 1595
	28, 145

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 1232,6380 By Matching Biggest Common Factor Method

Now, list down the factors of 1232

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Now, list down the factors of 6380

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Greatest Common Factor

We found the factors 1232,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 1232,6380 is 44.

Lets's calculate LCM of 373,1744

Lowest Common Multiple of 373,1744 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 650512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/650512

Therefore, the GCF of Fractions 1232/373,6380/1744 is 44/650512

Least Common Multiple of 373,1744 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 373,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,1744) = 1

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

GCF(373,1744) x common factors =1 x 1 = 1

LCM(373,1744) = ( 373 × 1744 ) / 1

LCM(373,1744) = 650512 / 1

LCM(373,1744) = 650512

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FAQs on GCF of Fractions of 1232/373, 6380/1744

1. What is the HCF of 1232,6380?

The HCF of 1232,6380 is 44

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 1232/373, 6380/1744?

Answer: GCF of Numerators as per given numbers 1232/373, 6380/1744 is

GCF of Numerators i.e. for 1232,6380 is 44

LCM of denominators i.e. for 373,1744 is 650512.

Thus, GCF of Fractions is 44/650512.Finally, GCF of Fractions for 1232/373, 6380/1744 is 44/650512.