GCF of 5540/762, 2961/656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5540/762, 2961/656 i.e 1/249936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5540/762, 2961/656.
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 5540/762,2961/656?
Given fractions are 5540/762,2961/656
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 5540/762,2961/656, numerators are 5540,2961
Denominators are 762,656
The GCF of 5540,2961 is 1 .
LCM of 762,656 is 249936.
The greatest common factor of 5540/762,2961/656 = [GCF of 5540,2961]/[LCM of 762,656]= 1/249936
Therefore, the GCF of 5540/762,2961/656 is 1/249936.
To find the highest common factor of 5540,2961, we have to find the factors of both numbers and list the highest common factor.
The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540
The factors of 2961 are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961
The HCF of 5540,2961 is 1.
Lets's calculate GCF of 5540,2961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5540,2961 By Matching Biggest Common Factor Method
Now, list down the factors of 5540
:1,2,4,5,10,20,277,554,1108,1385,2770,5540
Now, list down the factors of 2961
:1,3,7,9,21,47,63,141,329,423,987,2961
Greatest Common Factor
We found the factors 5540,2961 . The biggest common factor number is the GCF number.
So the greatest common factor 5540,2961 is 1.
Lets's calculate LCM of 762,656
| 2 | 762, 656 |
| 381, 328 |
∴ So the LCM of the given numbers is 2 x 381 x 328 = 249936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249936
Therefore, the GCF of Fractions 5540/762,2961/656 is 1/249936
Least Common Multiple of 762,656 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 762,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,656) x common factors =2 x 1 = 2
LCM(762,656) = ( 762 × 656 ) / 2
LCM(762,656) = 499872 / 2
LCM(762,656) = 249936
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FAQs on GCF of Fractions of 5540/762, 2961/656
1. What is the HCF of 5540,2961?
The HCF of 5540,2961 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 5540/762, 2961/656?
Answer: GCF of Numerators as per given numbers 5540/762, 2961/656 is
GCF of Numerators i.e. for 5540,2961 is 1
LCM of denominators i.e. for 762,656 is 249936.
Thus, GCF of Fractions is 1/249936.Finally, GCF of Fractions for 5540/762, 2961/656 is 1/249936.