GCF of 9397/774, 1052/1122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9397/774, 1052/1122 i.e 1/144738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9397/774, 1052/1122.
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 9397/774,1052/1122?
Given fractions are 9397/774,1052/1122
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 9397/774,1052/1122, numerators are 9397,1052
Denominators are 774,1122
The GCF of 9397,1052 is 1 .
LCM of 774,1122 is 144738.
The greatest common factor of 9397/774,1052/1122 = [GCF of 9397,1052]/[LCM of 774,1122]= 1/144738
Therefore, the GCF of 9397/774,1052/1122 is 1/144738.
To find the highest common factor of 9397,1052, we have to find the factors of both numbers and list the highest common factor.
The factors of 9397 are 1, 9397
The factors of 1052 are 1, 2, 4, 263, 526, 1052
The HCF of 9397,1052 is 1.
Lets's calculate GCF of 9397,1052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9397,1052 By Matching Biggest Common Factor Method
Now, list down the factors of 9397
:1,9397
Now, list down the factors of 1052
:1,2,4,263,526,1052
Greatest Common Factor
We found the factors 9397,1052 . The biggest common factor number is the GCF number.
So the greatest common factor 9397,1052 is 1.
Lets's calculate LCM of 774,1122
| 2 | 774, 1122 |
| 3 | 387, 561 |
| 129, 187 |
∴ So the LCM of the given numbers is 2 x 3 x 129 x 187 = 144738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144738
Therefore, the GCF of Fractions 9397/774,1052/1122 is 1/144738
Least Common Multiple of 774,1122 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 774,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,1122) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(774,1122) x common factors =6 x 1 = 6
LCM(774,1122) = ( 774 × 1122 ) / 6
LCM(774,1122) = 868428 / 6
LCM(774,1122) = 144738
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FAQs on GCF of Fractions of 9397/774, 1052/1122
1. What is the HCF of 9397,1052?
The HCF of 9397,1052 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 9397/774, 1052/1122?
Answer: GCF of Numerators as per given numbers 9397/774, 1052/1122 is
GCF of Numerators i.e. for 9397,1052 is 1
LCM of denominators i.e. for 774,1122 is 144738.
Thus, GCF of Fractions is 1/144738.Finally, GCF of Fractions for 9397/774, 1052/1122 is 1/144738.