GCF of 2876/302, 9787/7368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2876/302, 9787/7368 i.e 1/1112568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2876/302, 9787/7368.
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 2876/302,9787/7368?
Given fractions are 2876/302,9787/7368
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 2876/302,9787/7368, numerators are 2876,9787
Denominators are 302,7368
The GCF of 2876,9787 is 1 .
LCM of 302,7368 is 1112568.
The greatest common factor of 2876/302,9787/7368 = [GCF of 2876,9787]/[LCM of 302,7368]= 1/1112568
Therefore, the GCF of 2876/302,9787/7368 is 1/1112568.
To find the highest common factor of 2876,9787, we have to find the factors of both numbers and list the highest common factor.
The factors of 2876 are 1, 2, 4, 719, 1438, 2876
The factors of 9787 are 1, 9787
The HCF of 2876,9787 is 1.
Lets's calculate GCF of 2876,9787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2876,9787 By Matching Biggest Common Factor Method
Now, list down the factors of 2876
:1,2,4,719,1438,2876
Now, list down the factors of 9787
:1,9787
Greatest Common Factor
We found the factors 2876,9787 . The biggest common factor number is the GCF number.
So the greatest common factor 2876,9787 is 1.
Lets's calculate LCM of 302,7368
| 2 | 302, 7368 |
| 151, 3684 |
∴ So the LCM of the given numbers is 2 x 151 x 3684 = 1112568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112568
Therefore, the GCF of Fractions 2876/302,9787/7368 is 1/1112568
Least Common Multiple of 302,7368 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 302,7368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,7368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,7368) x common factors =2 x 1 = 2
LCM(302,7368) = ( 302 × 7368 ) / 2
LCM(302,7368) = 2225136 / 2
LCM(302,7368) = 1112568
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FAQs on GCF of Fractions of 2876/302, 9787/7368
1. What is the HCF of 2876,9787?
The HCF of 2876,9787 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 2876/302, 9787/7368?
Answer: GCF of Numerators as per given numbers 2876/302, 9787/7368 is
GCF of Numerators i.e. for 2876,9787 is 1
LCM of denominators i.e. for 302,7368 is 1112568.
Thus, GCF of Fractions is 1/1112568.Finally, GCF of Fractions for 2876/302, 9787/7368 is 1/1112568.