GCF of 7690/174, 9964/2836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7690/174, 9964/2836 i.e 2/246732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7690/174, 9964/2836.
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 7690/174,9964/2836?
Given fractions are 7690/174,9964/2836
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 7690/174,9964/2836, numerators are 7690,9964
Denominators are 174,2836
The GCF of 7690,9964 is 2 .
LCM of 174,2836 is 246732.
The greatest common factor of 7690/174,9964/2836 = [GCF of 7690,9964]/[LCM of 174,2836]= 2/246732
Therefore, the GCF of 7690/174,9964/2836 is 2/246732.
To find the highest common factor of 7690,9964, we have to find the factors of both numbers and list the highest common factor.
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
The HCF of 7690,9964 is 2.
Lets's calculate GCF of 7690,9964
| 2 | 7690, 9964 |
| 3845, 4982 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7690,9964 By Matching Biggest Common Factor Method
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Now, list down the factors of 9964
:1,2,4,47,53,94,106,188,212,2491,4982,9964
Greatest Common Factor
We found the factors 7690,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 7690,9964 is 2.
Lets's calculate LCM of 174,2836
| 2 | 174, 2836 |
| 87, 1418 |
∴ So the LCM of the given numbers is 2 x 87 x 1418 = 246732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246732
Therefore, the GCF of Fractions 7690/174,9964/2836 is 2/246732
Least Common Multiple of 174,2836 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 174,2836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,2836) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,2836) x common factors =2 x 1 = 2
LCM(174,2836) = ( 174 × 2836 ) / 2
LCM(174,2836) = 493464 / 2
LCM(174,2836) = 246732
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FAQs on GCF of Fractions of 7690/174, 9964/2836
1. What is the HCF of 7690,9964?
The HCF of 7690,9964 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 7690/174, 9964/2836?
Answer: GCF of Numerators as per given numbers 7690/174, 9964/2836 is
GCF of Numerators i.e. for 7690,9964 is 2
LCM of denominators i.e. for 174,2836 is 246732.
Thus, GCF of Fractions is 2/246732.Finally, GCF of Fractions for 7690/174, 9964/2836 is 2/246732.