How to Find GCF of 468/447, 3124/946?

GCF of 468/447, 3124/946

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 468/447, 3124/946 i.e 4/422862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/447, 3124/946.

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 468/447,3124/946?

Given fractions are 468/447,3124/946

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 468/447,3124/946, numerators are 468,3124

Denominators are 447,946

The GCF of 468,3124 is 4 .

LCM of 447,946 is 422862.

The greatest common factor of 468/447,3124/946 = [GCF of 468,3124]/[LCM of 447,946]= 4/422862

Therefore, the GCF of 468/447,3124/946 is 4/422862.

Greatest Common Factor of 468,3124

To find the highest common factor of 468,3124, we have to find the factors of both numbers and list the highest common factor.

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

The HCF of 468,3124 is 4.

Lets's calculate GCF of 468,3124

Greatest Common Factor (GCF) of 468,3124 By Common Division

2	468, 3124
2	234, 1562
	117, 781

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 468,3124 By Matching Biggest Common Factor Method

Now, list down the factors of 468

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Now, list down the factors of 3124

1,2,4,11,22,44,71,142,284,781,1562,3124

Greatest Common Factor

We found the factors 468,3124 . The biggest common factor number is the GCF number.
So the greatest common factor 468,3124 is 4.

Lets's calculate LCM of 447,946

Lowest Common Multiple of 447,946 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 422862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/422862

Therefore, the GCF of Fractions 468/447,3124/946 is 4/422862

Least Common Multiple of 447,946 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 447,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,946) = 1

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

GCF(447,946) x common factors =1 x 1 = 1

LCM(447,946) = ( 447 × 946 ) / 1

LCM(447,946) = 422862 / 1

LCM(447,946) = 422862

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FAQs on GCF of Fractions of 468/447, 3124/946

1. What is the HCF of 468,3124?

The HCF of 468,3124 is 4

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 468/447, 3124/946?

Answer: GCF of Numerators as per given numbers 468/447, 3124/946 is

GCF of Numerators i.e. for 468,3124 is 4

LCM of denominators i.e. for 447,946 is 422862.

Thus, GCF of Fractions is 4/422862.Finally, GCF of Fractions for 468/447, 3124/946 is 4/422862.