GCF of 7946/697, 1108/7711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7946/697, 1108/7711 i.e 2/5374567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7946/697, 1108/7711.
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 7946/697,1108/7711?
Given fractions are 7946/697,1108/7711
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 7946/697,1108/7711, numerators are 7946,1108
Denominators are 697,7711
The GCF of 7946,1108 is 2 .
LCM of 697,7711 is 5374567.
The greatest common factor of 7946/697,1108/7711 = [GCF of 7946,1108]/[LCM of 697,7711]= 2/5374567
Therefore, the GCF of 7946/697,1108/7711 is 2/5374567.
To find the highest common factor of 7946,1108, we have to find the factors of both numbers and list the highest common factor.
The factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946
The factors of 1108 are 1, 2, 4, 277, 554, 1108
The HCF of 7946,1108 is 2.
Lets's calculate GCF of 7946,1108
| 2 | 7946, 1108 |
| 3973, 554 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7946,1108 By Matching Biggest Common Factor Method
Now, list down the factors of 7946
:1,2,29,58,137,274,3973,7946
Now, list down the factors of 1108
:1,2,4,277,554,1108
Greatest Common Factor
We found the factors 7946,1108 . The biggest common factor number is the GCF number.
So the greatest common factor 7946,1108 is 2.
Lets's calculate LCM of 697,7711
Given numbers has no common factors except 1. So, there LCM is their product i.e 5374567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5374567
Therefore, the GCF of Fractions 7946/697,1108/7711 is 2/5374567
Least Common Multiple of 697,7711 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 697,7711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,7711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,7711) x common factors =1 x 1 = 1
LCM(697,7711) = ( 697 × 7711 ) / 1
LCM(697,7711) = 5374567 / 1
LCM(697,7711) = 5374567
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FAQs on GCF of Fractions of 7946/697, 1108/7711
1. What is the HCF of 7946,1108?
The HCF of 7946,1108 is 2
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 7946/697, 1108/7711?
Answer: GCF of Numerators as per given numbers 7946/697, 1108/7711 is
GCF of Numerators i.e. for 7946,1108 is 2
LCM of denominators i.e. for 697,7711 is 5374567.
Thus, GCF of Fractions is 2/5374567.Finally, GCF of Fractions for 7946/697, 1108/7711 is 2/5374567.