GCF of 2720/774, 8908/3938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2720/774, 8908/3938 i.e 68/1524006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2720/774, 8908/3938.
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 2720/774,8908/3938?
Given fractions are 2720/774,8908/3938
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 2720/774,8908/3938, numerators are 2720,8908
Denominators are 774,3938
The GCF of 2720,8908 is 68 .
LCM of 774,3938 is 1524006.
The greatest common factor of 2720/774,8908/3938 = [GCF of 2720,8908]/[LCM of 774,3938]= 68/1524006
Therefore, the GCF of 2720/774,8908/3938 is 68/1524006.
To find the highest common factor of 2720,8908, we have to find the factors of both numbers and list the highest common factor.
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908
The HCF of 2720,8908 is 68.
Lets's calculate GCF of 2720,8908
| 2 | 2720, 8908 |
| 2 | 1360, 4454 |
| 17 | 680, 2227 |
| 40, 131 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 2720,8908 By Matching Biggest Common Factor Method
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Now, list down the factors of 8908
:1,2,4,17,34,68,131,262,524,2227,4454,8908
Greatest Common Factor
We found the factors 2720,8908 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,8908 is 68.
Lets's calculate LCM of 774,3938
| 2 | 774, 3938 |
| 387, 1969 |
∴ So the LCM of the given numbers is 2 x 387 x 1969 = 1524006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/1524006
Therefore, the GCF of Fractions 2720/774,8908/3938 is 68/1524006
Least Common Multiple of 774,3938 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 774,3938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,3938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,3938) x common factors =2 x 1 = 2
LCM(774,3938) = ( 774 × 3938 ) / 2
LCM(774,3938) = 3048012 / 2
LCM(774,3938) = 1524006
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FAQs on GCF of Fractions of 2720/774, 8908/3938
1. What is the HCF of 2720,8908?
The HCF of 2720,8908 is 68
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 2720/774, 8908/3938?
Answer: GCF of Numerators as per given numbers 2720/774, 8908/3938 is
GCF of Numerators i.e. for 2720,8908 is 68
LCM of denominators i.e. for 774,3938 is 1524006.
Thus, GCF of Fractions is 68/1524006.Finally, GCF of Fractions for 2720/774, 8908/3938 is 68/1524006.