GCF of 2920/722, 3663/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2920/722, 3663/778 i.e 1/280858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2920/722, 3663/778.
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 2920/722,3663/778?
Given fractions are 2920/722,3663/778
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 2920/722,3663/778, numerators are 2920,3663
Denominators are 722,778
The GCF of 2920,3663 is 1 .
LCM of 722,778 is 280858.
The greatest common factor of 2920/722,3663/778 = [GCF of 2920,3663]/[LCM of 722,778]= 1/280858
Therefore, the GCF of 2920/722,3663/778 is 1/280858.
To find the highest common factor of 2920,3663, we have to find the factors of both numbers and list the highest common factor.
The factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The HCF of 2920,3663 is 1.
Lets's calculate GCF of 2920,3663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2920,3663 By Matching Biggest Common Factor Method
Now, list down the factors of 2920
:1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors 2920,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 2920,3663 is 1.
Lets's calculate LCM of 722,778
| 2 | 722, 778 |
| 361, 389 |
∴ So the LCM of the given numbers is 2 x 361 x 389 = 280858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280858
Therefore, the GCF of Fractions 2920/722,3663/778 is 1/280858
Least Common Multiple of 722,778 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 722,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,778) x common factors =2 x 1 = 2
LCM(722,778) = ( 722 × 778 ) / 2
LCM(722,778) = 561716 / 2
LCM(722,778) = 280858
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FAQs on GCF of Fractions of 2920/722, 3663/778
1. What is the HCF of 2920,3663?
The HCF of 2920,3663 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 2920/722, 3663/778?
Answer: GCF of Numerators as per given numbers 2920/722, 3663/778 is
GCF of Numerators i.e. for 2920,3663 is 1
LCM of denominators i.e. for 722,778 is 280858.
Thus, GCF of Fractions is 1/280858.Finally, GCF of Fractions for 2920/722, 3663/778 is 1/280858.