How to Find GCF of 4870/414, 5223/4528?

GCF of 4870/414, 5223/4528

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 4870/414, 5223/4528 i.e 1/937296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/414, 5223/4528.

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 4870/414,5223/4528?

Given fractions are 4870/414,5223/4528

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 4870/414,5223/4528, numerators are 4870,5223

Denominators are 414,4528

The GCF of 4870,5223 is 1 .

LCM of 414,4528 is 937296.

The greatest common factor of 4870/414,5223/4528 = [GCF of 4870,5223]/[LCM of 414,4528]= 1/937296

Therefore, the GCF of 4870/414,5223/4528 is 1/937296.

Greatest Common Factor of 4870,5223

To find the highest common factor of 4870,5223, we have to find the factors of both numbers and list the highest common factor.

The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870

The factors of 5223 are 1, 3, 1741, 5223

The HCF of 4870,5223 is 1.

Lets's calculate GCF of 4870,5223

Greatest Common Factor (GCF) of 4870,5223 By Common Division

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

Greatest Common Factor of 4870,5223 By Matching Biggest Common Factor Method

Now, list down the factors of 4870

1,2,5,10,487,974,2435,4870

Now, list down the factors of 5223

1,3,1741,5223

Greatest Common Factor

We found the factors 4870,5223 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,5223 is 1.

Lets's calculate LCM of 414,4528

Lowest Common Multiple of 414,4528 using Common Division

2	414, 4528
	207, 2264

∴ So the LCM of the given numbers is 2 x 207 x 2264 = 937296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/937296

Therefore, the GCF of Fractions 4870/414,5223/4528 is 1/937296

Least Common Multiple of 414,4528 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 414,4528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,4528) = 2

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

GCF(414,4528) x common factors =2 x 1 = 2

LCM(414,4528) = ( 414 × 4528 ) / 2

LCM(414,4528) = 1874592 / 2

LCM(414,4528) = 937296

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FAQs on GCF of Fractions of 4870/414, 5223/4528

1. What is the HCF of 4870,5223?

The HCF of 4870,5223 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 4870/414, 5223/4528?

Answer: GCF of Numerators as per given numbers 4870/414, 5223/4528 is

GCF of Numerators i.e. for 4870,5223 is 1

LCM of denominators i.e. for 414,4528 is 937296.

Thus, GCF of Fractions is 1/937296.Finally, GCF of Fractions for 4870/414, 5223/4528 is 1/937296.