How to Find GCF of 2343/786, 4456/2250?

GCF of 2343/786, 4456/2250

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 2343/786, 4456/2250 i.e 1/294750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2343/786, 4456/2250.

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 2343/786,4456/2250?

Given fractions are 2343/786,4456/2250

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 2343/786,4456/2250, numerators are 2343,4456

Denominators are 786,2250

The GCF of 2343,4456 is 1 .

LCM of 786,2250 is 294750.

The greatest common factor of 2343/786,4456/2250 = [GCF of 2343,4456]/[LCM of 786,2250]= 1/294750

Therefore, the GCF of 2343/786,4456/2250 is 1/294750.

Greatest Common Factor of 2343,4456

To find the highest common factor of 2343,4456, we have to find the factors of both numbers and list the highest common factor.

The factors of 2343 are 1, 3, 11, 33, 71, 213, 781, 2343

The factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456

The HCF of 2343,4456 is 1.

Lets's calculate GCF of 2343,4456

Greatest Common Factor (GCF) of 2343,4456 By Common Division

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

Greatest Common Factor of 2343,4456 By Matching Biggest Common Factor Method

Now, list down the factors of 2343

1,3,11,33,71,213,781,2343

Now, list down the factors of 4456

1,2,4,8,557,1114,2228,4456

Greatest Common Factor

We found the factors 2343,4456 . The biggest common factor number is the GCF number.
So the greatest common factor 2343,4456 is 1.

Lets's calculate LCM of 786,2250

Lowest Common Multiple of 786,2250 using Common Division

2	786, 2250
3	393, 1125
	131, 375

∴ So the LCM of the given numbers is 2 x 3 x 131 x 375 = 294750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294750

Therefore, the GCF of Fractions 2343/786,4456/2250 is 1/294750

Least Common Multiple of 786,2250 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 786,2250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,2250) = 6

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

GCF(786,2250) x common factors =6 x 1 = 6

LCM(786,2250) = ( 786 × 2250 ) / 6

LCM(786,2250) = 1768500 / 6

LCM(786,2250) = 294750

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FAQs on GCF of Fractions of 2343/786, 4456/2250

1. What is the HCF of 2343,4456?

The HCF of 2343,4456 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 2343/786, 4456/2250?

Answer: GCF of Numerators as per given numbers 2343/786, 4456/2250 is

GCF of Numerators i.e. for 2343,4456 is 1

LCM of denominators i.e. for 786,2250 is 294750.

Thus, GCF of Fractions is 1/294750.Finally, GCF of Fractions for 2343/786, 4456/2250 is 1/294750.