GCF of 7756/768, 9009/9211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7756/768, 9009/9211 i.e 7/7074048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7756/768, 9009/9211.
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 7756/768,9009/9211?
Given fractions are 7756/768,9009/9211
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 7756/768,9009/9211, numerators are 7756,9009
Denominators are 768,9211
The GCF of 7756,9009 is 7 .
LCM of 768,9211 is 7074048.
The greatest common factor of 7756/768,9009/9211 = [GCF of 7756,9009]/[LCM of 768,9211]= 7/7074048
Therefore, the GCF of 7756/768,9009/9211 is 7/7074048.
To find the highest common factor of 7756,9009, we have to find the factors of both numbers and list the highest common factor.
The factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756
The factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009
The HCF of 7756,9009 is 7.
Lets's calculate GCF of 7756,9009
| 7 | 7756, 9009 |
| 1108, 1287 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7756,9009 By Matching Biggest Common Factor Method
Now, list down the factors of 7756
:1,2,4,7,14,28,277,554,1108,1939,3878,7756
Now, list down the factors of 9009
:1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Greatest Common Factor
We found the factors 7756,9009 . The biggest common factor number is the GCF number.
So the greatest common factor 7756,9009 is 7.
Lets's calculate LCM of 768,9211
Given numbers has no common factors except 1. So, there LCM is their product i.e 7074048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7074048
Therefore, the GCF of Fractions 7756/768,9009/9211 is 7/7074048
Least Common Multiple of 768,9211 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 768,9211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9211) x common factors =1 x 1 = 1
LCM(768,9211) = ( 768 × 9211 ) / 1
LCM(768,9211) = 7074048 / 1
LCM(768,9211) = 7074048
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FAQs on GCF of Fractions of 7756/768, 9009/9211
1. What is the HCF of 7756,9009?
The HCF of 7756,9009 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 7756/768, 9009/9211?
Answer: GCF of Numerators as per given numbers 7756/768, 9009/9211 is
GCF of Numerators i.e. for 7756,9009 is 7
LCM of denominators i.e. for 768,9211 is 7074048.
Thus, GCF of Fractions is 7/7074048.Finally, GCF of Fractions for 7756/768, 9009/9211 is 7/7074048.