How to Find GCF of 1948/202, 4549/218?

GCF of 1948/202, 4549/218

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 1948/202, 4549/218 i.e 1/22018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1948/202, 4549/218.

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 1948/202,4549/218?

Given fractions are 1948/202,4549/218

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 1948/202,4549/218, numerators are 1948,4549

Denominators are 202,218

The GCF of 1948,4549 is 1 .

LCM of 202,218 is 22018.

The greatest common factor of 1948/202,4549/218 = [GCF of 1948,4549]/[LCM of 202,218]= 1/22018

Therefore, the GCF of 1948/202,4549/218 is 1/22018.

Greatest Common Factor of 1948,4549

To find the highest common factor of 1948,4549, we have to find the factors of both numbers and list the highest common factor.

The factors of 1948 are 1, 2, 4, 487, 974, 1948

The factors of 4549 are 1, 4549

The HCF of 1948,4549 is 1.

Lets's calculate GCF of 1948,4549

Greatest Common Factor (GCF) of 1948,4549 By Common Division

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

Greatest Common Factor of 1948,4549 By Matching Biggest Common Factor Method

Now, list down the factors of 1948

1,2,4,487,974,1948

Now, list down the factors of 4549

1,4549

Greatest Common Factor

We found the factors 1948,4549 . The biggest common factor number is the GCF number.
So the greatest common factor 1948,4549 is 1.

Lets's calculate LCM of 202,218

Lowest Common Multiple of 202,218 using Common Division

2	202, 218
	101, 109

∴ So the LCM of the given numbers is 2 x 101 x 109 = 22018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22018

Therefore, the GCF of Fractions 1948/202,4549/218 is 1/22018

Least Common Multiple of 202,218 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 202,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,218) = 2

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

GCF(202,218) x common factors =2 x 1 = 2

LCM(202,218) = ( 202 × 218 ) / 2

LCM(202,218) = 44036 / 2

LCM(202,218) = 22018

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1948/202, 4549/218

1. What is the HCF of 1948,4549?

The HCF of 1948,4549 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 1948/202, 4549/218?

Answer: GCF of Numerators as per given numbers 1948/202, 4549/218 is

GCF of Numerators i.e. for 1948,4549 is 1

LCM of denominators i.e. for 202,218 is 22018.

Thus, GCF of Fractions is 1/22018.Finally, GCF of Fractions for 1948/202, 4549/218 is 1/22018.