GCF of 7777/113, 5027/6874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7777/113, 5027/6874 i.e 11/776762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7777/113, 5027/6874.
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 7777/113,5027/6874?
Given fractions are 7777/113,5027/6874
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 7777/113,5027/6874, numerators are 7777,5027
Denominators are 113,6874
The GCF of 7777,5027 is 11 .
LCM of 113,6874 is 776762.
The greatest common factor of 7777/113,5027/6874 = [GCF of 7777,5027]/[LCM of 113,6874]= 11/776762
Therefore, the GCF of 7777/113,5027/6874 is 11/776762.
To find the highest common factor of 7777,5027, 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 5027 are 1, 11, 457, 5027
The HCF of 7777,5027 is 11.
Lets's calculate GCF of 7777,5027
| 11 | 7777, 5027 |
| 707, 457 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7777,5027 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 5027
:1,11,457,5027
Greatest Common Factor
We found the factors 7777,5027 . The biggest common factor number is the GCF number.
So the greatest common factor 7777,5027 is 11.
Lets's calculate LCM of 113,6874
Given numbers has no common factors except 1. So, there LCM is their product i.e 776762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/776762
Therefore, the GCF of Fractions 7777/113,5027/6874 is 11/776762
Least Common Multiple of 113,6874 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 113,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,6874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,6874) x common factors =1 x 1 = 1
LCM(113,6874) = ( 113 × 6874 ) / 1
LCM(113,6874) = 776762 / 1
LCM(113,6874) = 776762
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FAQs on GCF of Fractions of 7777/113, 5027/6874
1. What is the HCF of 7777,5027?
The HCF of 7777,5027 is 11
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 7777/113, 5027/6874?
Answer: GCF of Numerators as per given numbers 7777/113, 5027/6874 is
GCF of Numerators i.e. for 7777,5027 is 11
LCM of denominators i.e. for 113,6874 is 776762.
Thus, GCF of Fractions is 11/776762.Finally, GCF of Fractions for 7777/113, 5027/6874 is 11/776762.