GCF of 7567/400, 9646/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7567/400, 9646/954 i.e 7/190800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7567/400, 9646/954.
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 7567/400,9646/954?
Given fractions are 7567/400,9646/954
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 7567/400,9646/954, numerators are 7567,9646
Denominators are 400,954
The GCF of 7567,9646 is 7 .
LCM of 400,954 is 190800.
The greatest common factor of 7567/400,9646/954 = [GCF of 7567,9646]/[LCM of 400,954]= 7/190800
Therefore, the GCF of 7567/400,9646/954 is 7/190800.
To find the highest common factor of 7567,9646, we have to find the factors of both numbers and list the highest common factor.
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The HCF of 7567,9646 is 7.
Lets's calculate GCF of 7567,9646
| 7 | 7567, 9646 |
| 1081, 1378 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7567,9646 By Matching Biggest Common Factor Method
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 7567,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 7567,9646 is 7.
Lets's calculate LCM of 400,954
| 2 | 400, 954 |
| 200, 477 |
∴ So the LCM of the given numbers is 2 x 200 x 477 = 190800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/190800
Therefore, the GCF of Fractions 7567/400,9646/954 is 7/190800
Least Common Multiple of 400,954 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 400,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(400,954) x common factors =2 x 1 = 2
LCM(400,954) = ( 400 × 954 ) / 2
LCM(400,954) = 381600 / 2
LCM(400,954) = 190800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7567/400, 9646/954
1. What is the HCF of 7567,9646?
The HCF of 7567,9646 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 7567/400, 9646/954?
Answer: GCF of Numerators as per given numbers 7567/400, 9646/954 is
GCF of Numerators i.e. for 7567,9646 is 7
LCM of denominators i.e. for 400,954 is 190800.
Thus, GCF of Fractions is 7/190800.Finally, GCF of Fractions for 7567/400, 9646/954 is 7/190800.