GCF of 1095/691, 8991/7655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1095/691, 8991/7655 i.e 3/5289605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1095/691, 8991/7655.
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 1095/691,8991/7655?
Given fractions are 1095/691,8991/7655
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 1095/691,8991/7655, numerators are 1095,8991
Denominators are 691,7655
The GCF of 1095,8991 is 3 .
LCM of 691,7655 is 5289605.
The greatest common factor of 1095/691,8991/7655 = [GCF of 1095,8991]/[LCM of 691,7655]= 3/5289605
Therefore, the GCF of 1095/691,8991/7655 is 3/5289605.
To find the highest common factor of 1095,8991, we have to find the factors of both numbers and list the highest common factor.
The factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095
The factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991
The HCF of 1095,8991 is 3.
Lets's calculate GCF of 1095,8991
| 3 | 1095, 8991 |
| 365, 2997 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1095,8991 By Matching Biggest Common Factor Method
Now, list down the factors of 1095
:1,3,5,15,73,219,365,1095
Now, list down the factors of 8991
:1,3,9,27,37,81,111,243,333,999,2997,8991
Greatest Common Factor
We found the factors 1095,8991 . The biggest common factor number is the GCF number.
So the greatest common factor 1095,8991 is 3.
Lets's calculate LCM of 691,7655
Given numbers has no common factors except 1. So, there LCM is their product i.e 5289605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5289605
Therefore, the GCF of Fractions 1095/691,8991/7655 is 3/5289605
Least Common Multiple of 691,7655 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 691,7655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,7655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,7655) x common factors =1 x 1 = 1
LCM(691,7655) = ( 691 × 7655 ) / 1
LCM(691,7655) = 5289605 / 1
LCM(691,7655) = 5289605
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FAQs on GCF of Fractions of 1095/691, 8991/7655
1. What is the HCF of 1095,8991?
The HCF of 1095,8991 is 3
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 1095/691, 8991/7655?
Answer: GCF of Numerators as per given numbers 1095/691, 8991/7655 is
GCF of Numerators i.e. for 1095,8991 is 3
LCM of denominators i.e. for 691,7655 is 5289605.
Thus, GCF of Fractions is 3/5289605.Finally, GCF of Fractions for 1095/691, 8991/7655 is 3/5289605.