GCF of 7777/993, 4074/5437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7777/993, 4074/5437 i.e 7/5398941 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7777/993, 4074/5437.
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 7777/993,4074/5437?
Given fractions are 7777/993,4074/5437
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 7777/993,4074/5437, numerators are 7777,4074
Denominators are 993,5437
The GCF of 7777,4074 is 7 .
LCM of 993,5437 is 5398941.
The greatest common factor of 7777/993,4074/5437 = [GCF of 7777,4074]/[LCM of 993,5437]= 7/5398941
Therefore, the GCF of 7777/993,4074/5437 is 7/5398941.
To find the highest common factor of 7777,4074, we have to find the factors of both numbers and list the highest common factor.
The factors of 7777 are 1, 7, 11, 77, 101, 707, 1111, 7777
The factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074
The HCF of 7777,4074 is 7.
Lets's calculate GCF of 7777,4074
| 7 | 7777, 4074 |
| 1111, 582 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7777,4074 By Matching Biggest Common Factor Method
Now, list down the factors of 7777
:1,7,11,77,101,707,1111,7777
Now, list down the factors of 4074
:1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074
Greatest Common Factor
We found the factors 7777,4074 . The biggest common factor number is the GCF number.
So the greatest common factor 7777,4074 is 7.
Lets's calculate LCM of 993,5437
Given numbers has no common factors except 1. So, there LCM is their product i.e 5398941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5398941
Therefore, the GCF of Fractions 7777/993,4074/5437 is 7/5398941
Least Common Multiple of 993,5437 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 993,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,5437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,5437) x common factors =1 x 1 = 1
LCM(993,5437) = ( 993 × 5437 ) / 1
LCM(993,5437) = 5398941 / 1
LCM(993,5437) = 5398941
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FAQs on GCF of Fractions of 7777/993, 4074/5437
1. What is the HCF of 7777,4074?
The HCF of 7777,4074 is 7
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 7777/993, 4074/5437?
Answer: GCF of Numerators as per given numbers 7777/993, 4074/5437 is
GCF of Numerators i.e. for 7777,4074 is 7
LCM of denominators i.e. for 993,5437 is 5398941.
Thus, GCF of Fractions is 7/5398941.Finally, GCF of Fractions for 7777/993, 4074/5437 is 7/5398941.