GCF of 2897/922, 7415/8034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2897/922, 7415/8034 i.e 1/3703674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2897/922, 7415/8034.
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 2897/922,7415/8034?
Given fractions are 2897/922,7415/8034
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 2897/922,7415/8034, numerators are 2897,7415
Denominators are 922,8034
The GCF of 2897,7415 is 1 .
LCM of 922,8034 is 3703674.
The greatest common factor of 2897/922,7415/8034 = [GCF of 2897,7415]/[LCM of 922,8034]= 1/3703674
Therefore, the GCF of 2897/922,7415/8034 is 1/3703674.
To find the highest common factor of 2897,7415, we have to find the factors of both numbers and list the highest common factor.
The factors of 2897 are 1, 2897
The factors of 7415 are 1, 5, 1483, 7415
The HCF of 2897,7415 is 1.
Lets's calculate GCF of 2897,7415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2897,7415 By Matching Biggest Common Factor Method
Now, list down the factors of 2897
:1,2897
Now, list down the factors of 7415
:1,5,1483,7415
Greatest Common Factor
We found the factors 2897,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 2897,7415 is 1.
Lets's calculate LCM of 922,8034
| 2 | 922, 8034 |
| 461, 4017 |
∴ So the LCM of the given numbers is 2 x 461 x 4017 = 3703674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3703674
Therefore, the GCF of Fractions 2897/922,7415/8034 is 1/3703674
Least Common Multiple of 922,8034 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 922,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,8034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,8034) x common factors =2 x 1 = 2
LCM(922,8034) = ( 922 × 8034 ) / 2
LCM(922,8034) = 7407348 / 2
LCM(922,8034) = 3703674
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FAQs on GCF of Fractions of 2897/922, 7415/8034
1. What is the HCF of 2897,7415?
The HCF of 2897,7415 is 1
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 2897/922, 7415/8034?
Answer: GCF of Numerators as per given numbers 2897/922, 7415/8034 is
GCF of Numerators i.e. for 2897,7415 is 1
LCM of denominators i.e. for 922,8034 is 3703674.
Thus, GCF of Fractions is 1/3703674.Finally, GCF of Fractions for 2897/922, 7415/8034 is 1/3703674.