GCF of 7115/236, 8922/1960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7115/236, 8922/1960 i.e 1/115640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7115/236, 8922/1960.
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 7115/236,8922/1960?
Given fractions are 7115/236,8922/1960
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 7115/236,8922/1960, numerators are 7115,8922
Denominators are 236,1960
The GCF of 7115,8922 is 1 .
LCM of 236,1960 is 115640.
The greatest common factor of 7115/236,8922/1960 = [GCF of 7115,8922]/[LCM of 236,1960]= 1/115640
Therefore, the GCF of 7115/236,8922/1960 is 1/115640.
To find the highest common factor of 7115,8922, we have to find the factors of both numbers and list the highest common factor.
The factors of 7115 are 1, 5, 1423, 7115
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The HCF of 7115,8922 is 1.
Lets's calculate GCF of 7115,8922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7115,8922 By Matching Biggest Common Factor Method
Now, list down the factors of 7115
:1,5,1423,7115
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Greatest Common Factor
We found the factors 7115,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 7115,8922 is 1.
Lets's calculate LCM of 236,1960
| 2 | 236, 1960 |
| 2 | 118, 980 |
| 59, 490 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 490 = 115640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115640
Therefore, the GCF of Fractions 7115/236,8922/1960 is 1/115640
Least Common Multiple of 236,1960 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 236,1960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,1960) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(236,1960) x common factors =4 x 1 = 4
LCM(236,1960) = ( 236 × 1960 ) / 4
LCM(236,1960) = 462560 / 4
LCM(236,1960) = 115640
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FAQs on GCF of Fractions of 7115/236, 8922/1960
1. What is the HCF of 7115,8922?
The HCF of 7115,8922 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 7115/236, 8922/1960?
Answer: GCF of Numerators as per given numbers 7115/236, 8922/1960 is
GCF of Numerators i.e. for 7115,8922 is 1
LCM of denominators i.e. for 236,1960 is 115640.
Thus, GCF of Fractions is 1/115640.Finally, GCF of Fractions for 7115/236, 8922/1960 is 1/115640.