How to Find GCF of 4196/370, 4298/9263?

GCF of 4196/370, 4298/9263

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 4196/370, 4298/9263 i.e 2/3427310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4196/370, 4298/9263.

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 4196/370,4298/9263?

Given fractions are 4196/370,4298/9263

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 4196/370,4298/9263, numerators are 4196,4298

Denominators are 370,9263

The GCF of 4196,4298 is 2 .

LCM of 370,9263 is 3427310.

The greatest common factor of 4196/370,4298/9263 = [GCF of 4196,4298]/[LCM of 370,9263]= 2/3427310

Therefore, the GCF of 4196/370,4298/9263 is 2/3427310.

Greatest Common Factor of 4196,4298

To find the highest common factor of 4196,4298, we have to find the factors of both numbers and list the highest common factor.

The factors of 4196 are 1, 2, 4, 1049, 2098, 4196

The factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298

The HCF of 4196,4298 is 2.

Lets's calculate GCF of 4196,4298

Greatest Common Factor (GCF) of 4196,4298 By Common Division

2	4196, 4298
	2098, 2149

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

Greatest Common Factor of 4196,4298 By Matching Biggest Common Factor Method

Now, list down the factors of 4196

1,2,4,1049,2098,4196

Now, list down the factors of 4298

1,2,7,14,307,614,2149,4298

Greatest Common Factor

We found the factors 4196,4298 . The biggest common factor number is the GCF number.
So the greatest common factor 4196,4298 is 2.

Lets's calculate LCM of 370,9263

Lowest Common Multiple of 370,9263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3427310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3427310

Therefore, the GCF of Fractions 4196/370,4298/9263 is 2/3427310

Least Common Multiple of 370,9263 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 370,9263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,9263) = 1

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

GCF(370,9263) x common factors =1 x 1 = 1

LCM(370,9263) = ( 370 × 9263 ) / 1

LCM(370,9263) = 3427310 / 1

LCM(370,9263) = 3427310

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4196/370, 4298/9263

1. What is the HCF of 4196,4298?

The HCF of 4196,4298 is 2

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 4196/370, 4298/9263?

Answer: GCF of Numerators as per given numbers 4196/370, 4298/9263 is

GCF of Numerators i.e. for 4196,4298 is 2

LCM of denominators i.e. for 370,9263 is 3427310.

Thus, GCF of Fractions is 2/3427310.Finally, GCF of Fractions for 4196/370, 4298/9263 is 2/3427310.