GCF of 3891/752, 5282/1082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3891/752, 5282/1082 i.e 1/406832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3891/752, 5282/1082.
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 3891/752,5282/1082?
Given fractions are 3891/752,5282/1082
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 3891/752,5282/1082, numerators are 3891,5282
Denominators are 752,1082
The GCF of 3891,5282 is 1 .
LCM of 752,1082 is 406832.
The greatest common factor of 3891/752,5282/1082 = [GCF of 3891,5282]/[LCM of 752,1082]= 1/406832
Therefore, the GCF of 3891/752,5282/1082 is 1/406832.
To find the highest common factor of 3891,5282, we have to find the factors of both numbers and list the highest common factor.
The factors of 3891 are 1, 3, 1297, 3891
The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282
The HCF of 3891,5282 is 1.
Lets's calculate GCF of 3891,5282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3891,5282 By Matching Biggest Common Factor Method
Now, list down the factors of 3891
:1,3,1297,3891
Now, list down the factors of 5282
:1,2,19,38,139,278,2641,5282
Greatest Common Factor
We found the factors 3891,5282 . The biggest common factor number is the GCF number.
So the greatest common factor 3891,5282 is 1.
Lets's calculate LCM of 752,1082
| 2 | 752, 1082 |
| 376, 541 |
∴ So the LCM of the given numbers is 2 x 376 x 541 = 406832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406832
Therefore, the GCF of Fractions 3891/752,5282/1082 is 1/406832
Least Common Multiple of 752,1082 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 752,1082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,1082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,1082) x common factors =2 x 1 = 2
LCM(752,1082) = ( 752 × 1082 ) / 2
LCM(752,1082) = 813664 / 2
LCM(752,1082) = 406832
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FAQs on GCF of Fractions of 3891/752, 5282/1082
1. What is the HCF of 3891,5282?
The HCF of 3891,5282 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 3891/752, 5282/1082?
Answer: GCF of Numerators as per given numbers 3891/752, 5282/1082 is
GCF of Numerators i.e. for 3891,5282 is 1
LCM of denominators i.e. for 752,1082 is 406832.
Thus, GCF of Fractions is 1/406832.Finally, GCF of Fractions for 3891/752, 5282/1082 is 1/406832.