How to Find GCF of 1416/449, 4656/7054?

GCF of 1416/449, 4656/7054

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 1416/449, 4656/7054 i.e 24/3167246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1416/449, 4656/7054.

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 1416/449,4656/7054?

Given fractions are 1416/449,4656/7054

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 1416/449,4656/7054, numerators are 1416,4656

Denominators are 449,7054

The GCF of 1416,4656 is 24 .

LCM of 449,7054 is 3167246.

The greatest common factor of 1416/449,4656/7054 = [GCF of 1416,4656]/[LCM of 449,7054]= 24/3167246

Therefore, the GCF of 1416/449,4656/7054 is 24/3167246.

Greatest Common Factor of 1416,4656

To find the highest common factor of 1416,4656, we have to find the factors of both numbers and list the highest common factor.

The factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416

The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656

The HCF of 1416,4656 is 24.

Lets's calculate GCF of 1416,4656

Greatest Common Factor (GCF) of 1416,4656 By Common Division

2	1416, 4656
2	708, 2328
2	354, 1164
3	177, 582
	59, 194

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 1416,4656 By Matching Biggest Common Factor Method

Now, list down the factors of 1416

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Now, list down the factors of 4656

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Greatest Common Factor

We found the factors 1416,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 1416,4656 is 24.

Lets's calculate LCM of 449,7054

Lowest Common Multiple of 449,7054 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3167246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3167246

Therefore, the GCF of Fractions 1416/449,4656/7054 is 24/3167246

Least Common Multiple of 449,7054 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 449,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,7054) = 1

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

GCF(449,7054) x common factors =1 x 1 = 1

LCM(449,7054) = ( 449 × 7054 ) / 1

LCM(449,7054) = 3167246 / 1

LCM(449,7054) = 3167246

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FAQs on GCF of Fractions of 1416/449, 4656/7054

1. What is the HCF of 1416,4656?

The HCF of 1416,4656 is 24

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 1416/449, 4656/7054?

Answer: GCF of Numerators as per given numbers 1416/449, 4656/7054 is

GCF of Numerators i.e. for 1416,4656 is 24

LCM of denominators i.e. for 449,7054 is 3167246.

Thus, GCF of Fractions is 24/3167246.Finally, GCF of Fractions for 1416/449, 4656/7054 is 24/3167246.