How to Find GCF of 4468/937, 4564/9869?

GCF of 4468/937, 4564/9869

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 4468/937, 4564/9869 i.e 4/9247253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4468/937, 4564/9869.

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 4468/937,4564/9869?

Given fractions are 4468/937,4564/9869

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 4468/937,4564/9869, numerators are 4468,4564

Denominators are 937,9869

The GCF of 4468,4564 is 4 .

LCM of 937,9869 is 9247253.

The greatest common factor of 4468/937,4564/9869 = [GCF of 4468,4564]/[LCM of 937,9869]= 4/9247253

Therefore, the GCF of 4468/937,4564/9869 is 4/9247253.

Greatest Common Factor of 4468,4564

To find the highest common factor of 4468,4564, we have to find the factors of both numbers and list the highest common factor.

The factors of 4468 are 1, 2, 4, 1117, 2234, 4468

The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

The HCF of 4468,4564 is 4.

Lets's calculate GCF of 4468,4564

Greatest Common Factor (GCF) of 4468,4564 By Common Division

2	4468, 4564
2	2234, 2282
	1117, 1141

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

Greatest Common Factor of 4468,4564 By Matching Biggest Common Factor Method

Now, list down the factors of 4468

1,2,4,1117,2234,4468

Now, list down the factors of 4564

1,2,4,7,14,28,163,326,652,1141,2282,4564

Greatest Common Factor

We found the factors 4468,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 4468,4564 is 4.

Lets's calculate LCM of 937,9869

Lowest Common Multiple of 937,9869 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9247253

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9247253

Therefore, the GCF of Fractions 4468/937,4564/9869 is 4/9247253

Least Common Multiple of 937,9869 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 937,9869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,9869) = 1

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

GCF(937,9869) x common factors =1 x 1 = 1

LCM(937,9869) = ( 937 × 9869 ) / 1

LCM(937,9869) = 9247253 / 1

LCM(937,9869) = 9247253

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FAQs on GCF of Fractions of 4468/937, 4564/9869

1. What is the HCF of 4468,4564?

The HCF of 4468,4564 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 4468/937, 4564/9869?

Answer: GCF of Numerators as per given numbers 4468/937, 4564/9869 is

GCF of Numerators i.e. for 4468,4564 is 4

LCM of denominators i.e. for 937,9869 is 9247253.

Thus, GCF of Fractions is 4/9247253.Finally, GCF of Fractions for 4468/937, 4564/9869 is 4/9247253.