GCF of 2961/693, 7642/3416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2961/693, 7642/3416 i.e 1/338184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2961/693, 7642/3416.
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 2961/693,7642/3416?
Given fractions are 2961/693,7642/3416
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 2961/693,7642/3416, numerators are 2961,7642
Denominators are 693,3416
The GCF of 2961,7642 is 1 .
LCM of 693,3416 is 338184.
The greatest common factor of 2961/693,7642/3416 = [GCF of 2961,7642]/[LCM of 693,3416]= 1/338184
Therefore, the GCF of 2961/693,7642/3416 is 1/338184.
To find the highest common factor of 2961,7642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2961 are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961
The factors of 7642 are 1, 2, 3821, 7642
The HCF of 2961,7642 is 1.
Lets's calculate GCF of 2961,7642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2961,7642 By Matching Biggest Common Factor Method
Now, list down the factors of 2961
:1,3,7,9,21,47,63,141,329,423,987,2961
Now, list down the factors of 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 2961,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 2961,7642 is 1.
Lets's calculate LCM of 693,3416
| 7 | 693, 3416 |
| 99, 488 |
∴ So the LCM of the given numbers is 7 x 99 x 488 = 338184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338184
Therefore, the GCF of Fractions 2961/693,7642/3416 is 1/338184
Least Common Multiple of 693,3416 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 693,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,3416) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(693,3416) x common factors =7 x 1 = 7
LCM(693,3416) = ( 693 × 3416 ) / 7
LCM(693,3416) = 2367288 / 7
LCM(693,3416) = 338184
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FAQs on GCF of Fractions of 2961/693, 7642/3416
1. What is the HCF of 2961,7642?
The HCF of 2961,7642 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 2961/693, 7642/3416?
Answer: GCF of Numerators as per given numbers 2961/693, 7642/3416 is
GCF of Numerators i.e. for 2961,7642 is 1
LCM of denominators i.e. for 693,3416 is 338184.
Thus, GCF of Fractions is 1/338184.Finally, GCF of Fractions for 2961/693, 7642/3416 is 1/338184.