How to Find GCF of 2038/298, 9457/7645?

GCF of 2038/298, 9457/7645

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 2038/298, 9457/7645 i.e 1/2278210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2038/298, 9457/7645.

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 2038/298,9457/7645?

Given fractions are 2038/298,9457/7645

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 2038/298,9457/7645, numerators are 2038,9457

Denominators are 298,7645

The GCF of 2038,9457 is 1 .

LCM of 298,7645 is 2278210.

The greatest common factor of 2038/298,9457/7645 = [GCF of 2038,9457]/[LCM of 298,7645]= 1/2278210

Therefore, the GCF of 2038/298,9457/7645 is 1/2278210.

Greatest Common Factor of 2038,9457

To find the highest common factor of 2038,9457, we have to find the factors of both numbers and list the highest common factor.

The factors of 2038 are 1, 2, 1019, 2038

The factors of 9457 are 1, 7, 49, 193, 1351, 9457

The HCF of 2038,9457 is 1.

Lets's calculate GCF of 2038,9457

Greatest Common Factor (GCF) of 2038,9457 By Common Division

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

Greatest Common Factor of 2038,9457 By Matching Biggest Common Factor Method

Now, list down the factors of 2038

1,2,1019,2038

Now, list down the factors of 9457

1,7,49,193,1351,9457

Greatest Common Factor

We found the factors 2038,9457 . The biggest common factor number is the GCF number.
So the greatest common factor 2038,9457 is 1.

Lets's calculate LCM of 298,7645

Lowest Common Multiple of 298,7645 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2278210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2278210

Therefore, the GCF of Fractions 2038/298,9457/7645 is 1/2278210

Least Common Multiple of 298,7645 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 298,7645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,7645) = 1

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

GCF(298,7645) x common factors =1 x 1 = 1

LCM(298,7645) = ( 298 × 7645 ) / 1

LCM(298,7645) = 2278210 / 1

LCM(298,7645) = 2278210

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FAQs on GCF of Fractions of 2038/298, 9457/7645

1. What is the HCF of 2038,9457?

The HCF of 2038,9457 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 2038/298, 9457/7645?

Answer: GCF of Numerators as per given numbers 2038/298, 9457/7645 is

GCF of Numerators i.e. for 2038,9457 is 1

LCM of denominators i.e. for 298,7645 is 2278210.

Thus, GCF of Fractions is 1/2278210.Finally, GCF of Fractions for 2038/298, 9457/7645 is 1/2278210.