GCF of 2977/827, 2782/8571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2977/827, 2782/8571 i.e 13/7088217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2977/827, 2782/8571.
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 2977/827,2782/8571?
Given fractions are 2977/827,2782/8571
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 2977/827,2782/8571, numerators are 2977,2782
Denominators are 827,8571
The GCF of 2977,2782 is 13 .
LCM of 827,8571 is 7088217.
The greatest common factor of 2977/827,2782/8571 = [GCF of 2977,2782]/[LCM of 827,8571]= 13/7088217
Therefore, the GCF of 2977/827,2782/8571 is 13/7088217.
To find the highest common factor of 2977,2782, we have to find the factors of both numbers and list the highest common factor.
The factors of 2977 are 1, 13, 229, 2977
The factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782
The HCF of 2977,2782 is 13.
Lets's calculate GCF of 2977,2782
| 13 | 2977, 2782 |
| 229, 214 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2977,2782 By Matching Biggest Common Factor Method
Now, list down the factors of 2977
:1,13,229,2977
Now, list down the factors of 2782
:1,2,13,26,107,214,1391,2782
Greatest Common Factor
We found the factors 2977,2782 . The biggest common factor number is the GCF number.
So the greatest common factor 2977,2782 is 13.
Lets's calculate LCM of 827,8571
Given numbers has no common factors except 1. So, there LCM is their product i.e 7088217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7088217
Therefore, the GCF of Fractions 2977/827,2782/8571 is 13/7088217
Least Common Multiple of 827,8571 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 827,8571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,8571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,8571) x common factors =1 x 1 = 1
LCM(827,8571) = ( 827 × 8571 ) / 1
LCM(827,8571) = 7088217 / 1
LCM(827,8571) = 7088217
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FAQs on GCF of Fractions of 2977/827, 2782/8571
1. What is the HCF of 2977,2782?
The HCF of 2977,2782 is 13
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 2977/827, 2782/8571?
Answer: GCF of Numerators as per given numbers 2977/827, 2782/8571 is
GCF of Numerators i.e. for 2977,2782 is 13
LCM of denominators i.e. for 827,8571 is 7088217.
Thus, GCF of Fractions is 13/7088217.Finally, GCF of Fractions for 2977/827, 2782/8571 is 13/7088217.