GCF of 1508/715, 2702/9197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1508/715, 2702/9197 i.e 2/6575855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1508/715, 2702/9197.
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 1508/715,2702/9197?
Given fractions are 1508/715,2702/9197
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 1508/715,2702/9197, numerators are 1508,2702
Denominators are 715,9197
The GCF of 1508,2702 is 2 .
LCM of 715,9197 is 6575855.
The greatest common factor of 1508/715,2702/9197 = [GCF of 1508,2702]/[LCM of 715,9197]= 2/6575855
Therefore, the GCF of 1508/715,2702/9197 is 2/6575855.
To find the highest common factor of 1508,2702, we have to find the factors of both numbers and list the highest common factor.
The factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The HCF of 1508,2702 is 2.
Lets's calculate GCF of 1508,2702
| 2 | 1508, 2702 |
| 754, 1351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1508,2702 By Matching Biggest Common Factor Method
Now, list down the factors of 1508
:1,2,4,13,26,29,52,58,116,377,754,1508
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Greatest Common Factor
We found the factors 1508,2702 . The biggest common factor number is the GCF number.
So the greatest common factor 1508,2702 is 2.
Lets's calculate LCM of 715,9197
Given numbers has no common factors except 1. So, there LCM is their product i.e 6575855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6575855
Therefore, the GCF of Fractions 1508/715,2702/9197 is 2/6575855
Least Common Multiple of 715,9197 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 715,9197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,9197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,9197) x common factors =1 x 1 = 1
LCM(715,9197) = ( 715 × 9197 ) / 1
LCM(715,9197) = 6575855 / 1
LCM(715,9197) = 6575855
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FAQs on GCF of Fractions of 1508/715, 2702/9197
1. What is the HCF of 1508,2702?
The HCF of 1508,2702 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 1508/715, 2702/9197?
Answer: GCF of Numerators as per given numbers 1508/715, 2702/9197 is
GCF of Numerators i.e. for 1508,2702 is 2
LCM of denominators i.e. for 715,9197 is 6575855.
Thus, GCF of Fractions is 2/6575855.Finally, GCF of Fractions for 1508/715, 2702/9197 is 2/6575855.