How to Find GCF of 4565/394, 4969/4850?

GCF of 4565/394, 4969/4850

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 4565/394, 4969/4850 i.e 1/955450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4565/394, 4969/4850.

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 4565/394,4969/4850?

Given fractions are 4565/394,4969/4850

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 4565/394,4969/4850, numerators are 4565,4969

Denominators are 394,4850

The GCF of 4565,4969 is 1 .

LCM of 394,4850 is 955450.

The greatest common factor of 4565/394,4969/4850 = [GCF of 4565,4969]/[LCM of 394,4850]= 1/955450

Therefore, the GCF of 4565/394,4969/4850 is 1/955450.

Greatest Common Factor of 4565,4969

To find the highest common factor of 4565,4969, we have to find the factors of both numbers and list the highest common factor.

The factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565

The factors of 4969 are 1, 4969

The HCF of 4565,4969 is 1.

Lets's calculate GCF of 4565,4969

Greatest Common Factor (GCF) of 4565,4969 By Common Division

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

Greatest Common Factor of 4565,4969 By Matching Biggest Common Factor Method

Now, list down the factors of 4565

1,5,11,55,83,415,913,4565

Now, list down the factors of 4969

1,4969

Greatest Common Factor

We found the factors 4565,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 4565,4969 is 1.

Lets's calculate LCM of 394,4850

Lowest Common Multiple of 394,4850 using Common Division

2	394, 4850
	197, 2425

∴ So the LCM of the given numbers is 2 x 197 x 2425 = 955450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/955450

Therefore, the GCF of Fractions 4565/394,4969/4850 is 1/955450

Least Common Multiple of 394,4850 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 394,4850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,4850) = 2

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

GCF(394,4850) x common factors =2 x 1 = 2

LCM(394,4850) = ( 394 × 4850 ) / 2

LCM(394,4850) = 1910900 / 2

LCM(394,4850) = 955450

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FAQs on GCF of Fractions of 4565/394, 4969/4850

1. What is the HCF of 4565,4969?

The HCF of 4565,4969 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 4565/394, 4969/4850?

Answer: GCF of Numerators as per given numbers 4565/394, 4969/4850 is

GCF of Numerators i.e. for 4565,4969 is 1

LCM of denominators i.e. for 394,4850 is 955450.

Thus, GCF of Fractions is 1/955450.Finally, GCF of Fractions for 4565/394, 4969/4850 is 1/955450.