GCF of 7266/662, 8197/7740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7266/662, 8197/7740 i.e 7/2561940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7266/662, 8197/7740.
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 7266/662,8197/7740?
Given fractions are 7266/662,8197/7740
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 7266/662,8197/7740, numerators are 7266,8197
Denominators are 662,7740
The GCF of 7266,8197 is 7 .
LCM of 662,7740 is 2561940.
The greatest common factor of 7266/662,8197/7740 = [GCF of 7266,8197]/[LCM of 662,7740]= 7/2561940
Therefore, the GCF of 7266/662,8197/7740 is 7/2561940.
To find the highest common factor of 7266,8197, we have to find the factors of both numbers and list the highest common factor.
The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
The factors of 8197 are 1, 7, 1171, 8197
The HCF of 7266,8197 is 7.
Lets's calculate GCF of 7266,8197
| 7 | 7266, 8197 |
| 1038, 1171 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7266,8197 By Matching Biggest Common Factor Method
Now, list down the factors of 7266
:1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Now, list down the factors of 8197
:1,7,1171,8197
Greatest Common Factor
We found the factors 7266,8197 . The biggest common factor number is the GCF number.
So the greatest common factor 7266,8197 is 7.
Lets's calculate LCM of 662,7740
| 2 | 662, 7740 |
| 331, 3870 |
∴ So the LCM of the given numbers is 2 x 331 x 3870 = 2561940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2561940
Therefore, the GCF of Fractions 7266/662,8197/7740 is 7/2561940
Least Common Multiple of 662,7740 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 662,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,7740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,7740) x common factors =2 x 1 = 2
LCM(662,7740) = ( 662 × 7740 ) / 2
LCM(662,7740) = 5123880 / 2
LCM(662,7740) = 2561940
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FAQs on GCF of Fractions of 7266/662, 8197/7740
1. What is the HCF of 7266,8197?
The HCF of 7266,8197 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 7266/662, 8197/7740?
Answer: GCF of Numerators as per given numbers 7266/662, 8197/7740 is
GCF of Numerators i.e. for 7266,8197 is 7
LCM of denominators i.e. for 662,7740 is 2561940.
Thus, GCF of Fractions is 7/2561940.Finally, GCF of Fractions for 7266/662, 8197/7740 is 7/2561940.