How to Find GCF of 287/37, 792/9890?

GCF of 287/37, 792/9890

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 287/37, 792/9890 i.e 1/365930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 287/37, 792/9890.

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 287/37,792/9890?

Given fractions are 287/37,792/9890

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 287/37,792/9890, numerators are 287,792

Denominators are 37,9890

The GCF of 287,792 is 1 .

LCM of 37,9890 is 365930.

The greatest common factor of 287/37,792/9890 = [GCF of 287,792]/[LCM of 37,9890]= 1/365930

Therefore, the GCF of 287/37,792/9890 is 1/365930.

Greatest Common Factor of 287,792

To find the highest common factor of 287,792, we have to find the factors of both numbers and list the highest common factor.

The factors of 287 are 1, 7, 41, 287

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

The HCF of 287,792 is 1.

Lets's calculate GCF of 287,792

Greatest Common Factor (GCF) of 287,792 By Common Division

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

Greatest Common Factor of 287,792 By Matching Biggest Common Factor Method

Now, list down the factors of 287

1,7,41,287

Now, list down the factors of 792

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 287,792 . The biggest common factor number is the GCF number.
So the greatest common factor 287,792 is 1.

Lets's calculate LCM of 37,9890

Lowest Common Multiple of 37,9890 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 365930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365930

Therefore, the GCF of Fractions 287/37,792/9890 is 1/365930

Least Common Multiple of 37,9890 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 37,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,9890) = 1

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

GCF(37,9890) x common factors =1 x 1 = 1

LCM(37,9890) = ( 37 × 9890 ) / 1

LCM(37,9890) = 365930 / 1

LCM(37,9890) = 365930

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FAQs on GCF of Fractions of 287/37, 792/9890

1. What is the HCF of 287,792?

The HCF of 287,792 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 287/37, 792/9890?

Answer: GCF of Numerators as per given numbers 287/37, 792/9890 is

GCF of Numerators i.e. for 287,792 is 1

LCM of denominators i.e. for 37,9890 is 365930.

Thus, GCF of Fractions is 1/365930.Finally, GCF of Fractions for 287/37, 792/9890 is 1/365930.