GCF of 7642/310, 7734/2126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7642/310, 7734/2126 i.e 2/329530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7642/310, 7734/2126.
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 7642/310,7734/2126?
Given fractions are 7642/310,7734/2126
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 7642/310,7734/2126, numerators are 7642,7734
Denominators are 310,2126
The GCF of 7642,7734 is 2 .
LCM of 310,2126 is 329530.
The greatest common factor of 7642/310,7734/2126 = [GCF of 7642,7734]/[LCM of 310,2126]= 2/329530
Therefore, the GCF of 7642/310,7734/2126 is 2/329530.
To find the highest common factor of 7642,7734, we have to find the factors of both numbers and list the highest common factor.
The factors of 7642 are 1, 2, 3821, 7642
The factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734
The HCF of 7642,7734 is 2.
Lets's calculate GCF of 7642,7734
| 2 | 7642, 7734 |
| 3821, 3867 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7642,7734 By Matching Biggest Common Factor Method
Now, list down the factors of 7642
:1,2,3821,7642
Now, list down the factors of 7734
:1,2,3,6,1289,2578,3867,7734
Greatest Common Factor
We found the factors 7642,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,7734 is 2.
Lets's calculate LCM of 310,2126
| 2 | 310, 2126 |
| 155, 1063 |
∴ So the LCM of the given numbers is 2 x 155 x 1063 = 329530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/329530
Therefore, the GCF of Fractions 7642/310,7734/2126 is 2/329530
Least Common Multiple of 310,2126 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 310,2126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,2126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,2126) x common factors =2 x 1 = 2
LCM(310,2126) = ( 310 × 2126 ) / 2
LCM(310,2126) = 659060 / 2
LCM(310,2126) = 329530
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FAQs on GCF of Fractions of 7642/310, 7734/2126
1. What is the HCF of 7642,7734?
The HCF of 7642,7734 is 2
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 7642/310, 7734/2126?
Answer: GCF of Numerators as per given numbers 7642/310, 7734/2126 is
GCF of Numerators i.e. for 7642,7734 is 2
LCM of denominators i.e. for 310,2126 is 329530.
Thus, GCF of Fractions is 2/329530.Finally, GCF of Fractions for 7642/310, 7734/2126 is 2/329530.