GCF of 7977/832, 1027/1578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7977/832, 1027/1578 i.e 1/656448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7977/832, 1027/1578.
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 7977/832,1027/1578?
Given fractions are 7977/832,1027/1578
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 7977/832,1027/1578, numerators are 7977,1027
Denominators are 832,1578
The GCF of 7977,1027 is 1 .
LCM of 832,1578 is 656448.
The greatest common factor of 7977/832,1027/1578 = [GCF of 7977,1027]/[LCM of 832,1578]= 1/656448
Therefore, the GCF of 7977/832,1027/1578 is 1/656448.
To find the highest common factor of 7977,1027, we have to find the factors of both numbers and list the highest common factor.
The factors of 7977 are 1, 3, 2659, 7977
The factors of 1027 are 1, 13, 79, 1027
The HCF of 7977,1027 is 1.
Lets's calculate GCF of 7977,1027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7977,1027 By Matching Biggest Common Factor Method
Now, list down the factors of 7977
:1,3,2659,7977
Now, list down the factors of 1027
:1,13,79,1027
Greatest Common Factor
We found the factors 7977,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 7977,1027 is 1.
Lets's calculate LCM of 832,1578
| 2 | 832, 1578 |
| 416, 789 |
∴ So the LCM of the given numbers is 2 x 416 x 789 = 656448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656448
Therefore, the GCF of Fractions 7977/832,1027/1578 is 1/656448
Least Common Multiple of 832,1578 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 832,1578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,1578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,1578) x common factors =2 x 1 = 2
LCM(832,1578) = ( 832 × 1578 ) / 2
LCM(832,1578) = 1312896 / 2
LCM(832,1578) = 656448
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FAQs on GCF of Fractions of 7977/832, 1027/1578
1. What is the HCF of 7977,1027?
The HCF of 7977,1027 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 7977/832, 1027/1578?
Answer: GCF of Numerators as per given numbers 7977/832, 1027/1578 is
GCF of Numerators i.e. for 7977,1027 is 1
LCM of denominators i.e. for 832,1578 is 656448.
Thus, GCF of Fractions is 1/656448.Finally, GCF of Fractions for 7977/832, 1027/1578 is 1/656448.