GCF of 7651/986, 4234/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7651/986, 4234/2782 i.e 1/1371526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7651/986, 4234/2782.
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 7651/986,4234/2782?
Given fractions are 7651/986,4234/2782
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 7651/986,4234/2782, numerators are 7651,4234
Denominators are 986,2782
The GCF of 7651,4234 is 1 .
LCM of 986,2782 is 1371526.
The greatest common factor of 7651/986,4234/2782 = [GCF of 7651,4234]/[LCM of 986,2782]= 1/1371526
Therefore, the GCF of 7651/986,4234/2782 is 1/1371526.
To find the highest common factor of 7651,4234, we have to find the factors of both numbers and list the highest common factor.
The factors of 7651 are 1, 7, 1093, 7651
The factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234
The HCF of 7651,4234 is 1.
Lets's calculate GCF of 7651,4234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7651,4234 By Matching Biggest Common Factor Method
Now, list down the factors of 7651
:1,7,1093,7651
Now, list down the factors of 4234
:1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors 7651,4234 . The biggest common factor number is the GCF number.
So the greatest common factor 7651,4234 is 1.
Lets's calculate LCM of 986,2782
| 2 | 986, 2782 |
| 493, 1391 |
∴ So the LCM of the given numbers is 2 x 493 x 1391 = 1371526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1371526
Therefore, the GCF of Fractions 7651/986,4234/2782 is 1/1371526
Least Common Multiple of 986,2782 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 986,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,2782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,2782) x common factors =2 x 1 = 2
LCM(986,2782) = ( 986 × 2782 ) / 2
LCM(986,2782) = 2743052 / 2
LCM(986,2782) = 1371526
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FAQs on GCF of Fractions of 7651/986, 4234/2782
1. What is the HCF of 7651,4234?
The HCF of 7651,4234 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 7651/986, 4234/2782?
Answer: GCF of Numerators as per given numbers 7651/986, 4234/2782 is
GCF of Numerators i.e. for 7651,4234 is 1
LCM of denominators i.e. for 986,2782 is 1371526.
Thus, GCF of Fractions is 1/1371526.Finally, GCF of Fractions for 7651/986, 4234/2782 is 1/1371526.