GCF of 7611/834, 1592/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7611/834, 1592/748 i.e 1/311916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7611/834, 1592/748.
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 7611/834,1592/748?
Given fractions are 7611/834,1592/748
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 7611/834,1592/748, numerators are 7611,1592
Denominators are 834,748
The GCF of 7611,1592 is 1 .
LCM of 834,748 is 311916.
The greatest common factor of 7611/834,1592/748 = [GCF of 7611,1592]/[LCM of 834,748]= 1/311916
Therefore, the GCF of 7611/834,1592/748 is 1/311916.
To find the highest common factor of 7611,1592, we have to find the factors of both numbers and list the highest common factor.
The factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611
The factors of 1592 are 1, 2, 4, 8, 199, 398, 796, 1592
The HCF of 7611,1592 is 1.
Lets's calculate GCF of 7611,1592
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7611,1592 By Matching Biggest Common Factor Method
Now, list down the factors of 7611
:1,3,43,59,129,177,2537,7611
Now, list down the factors of 1592
:1,2,4,8,199,398,796,1592
Greatest Common Factor
We found the factors 7611,1592 . The biggest common factor number is the GCF number.
So the greatest common factor 7611,1592 is 1.
Lets's calculate LCM of 834,748
| 2 | 834, 748 |
| 417, 374 |
∴ So the LCM of the given numbers is 2 x 417 x 374 = 311916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311916
Therefore, the GCF of Fractions 7611/834,1592/748 is 1/311916
Least Common Multiple of 834,748 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 834,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,748) x common factors =2 x 1 = 2
LCM(834,748) = ( 834 × 748 ) / 2
LCM(834,748) = 623832 / 2
LCM(834,748) = 311916
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FAQs on GCF of Fractions of 7611/834, 1592/748
1. What is the HCF of 7611,1592?
The HCF of 7611,1592 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 7611/834, 1592/748?
Answer: GCF of Numerators as per given numbers 7611/834, 1592/748 is
GCF of Numerators i.e. for 7611,1592 is 1
LCM of denominators i.e. for 834,748 is 311916.
Thus, GCF of Fractions is 1/311916.Finally, GCF of Fractions for 7611/834, 1592/748 is 1/311916.