GCF of 7733/869, 9398/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7733/869, 9398/339 i.e 37/294591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7733/869, 9398/339.
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 7733/869,9398/339?
Given fractions are 7733/869,9398/339
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 7733/869,9398/339, numerators are 7733,9398
Denominators are 869,339
The GCF of 7733,9398 is 37 .
LCM of 869,339 is 294591.
The greatest common factor of 7733/869,9398/339 = [GCF of 7733,9398]/[LCM of 869,339]= 37/294591
Therefore, the GCF of 7733/869,9398/339 is 37/294591.
To find the highest common factor of 7733,9398, we have to find the factors of both numbers and list the highest common factor.
The factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733
The factors of 9398 are 1, 2, 37, 74, 127, 254, 4699, 9398
The HCF of 7733,9398 is 37.
Lets's calculate GCF of 7733,9398
| 37 | 7733, 9398 |
| 209, 254 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 7733,9398 By Matching Biggest Common Factor Method
Now, list down the factors of 7733
:1,11,19,37,209,407,703,7733
Now, list down the factors of 9398
:1,2,37,74,127,254,4699,9398
Greatest Common Factor
We found the factors 7733,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 7733,9398 is 37.
Lets's calculate LCM of 869,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 294591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/294591
Therefore, the GCF of Fractions 7733/869,9398/339 is 37/294591
Least Common Multiple of 869,339 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 869,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,339) x common factors =1 x 1 = 1
LCM(869,339) = ( 869 × 339 ) / 1
LCM(869,339) = 294591 / 1
LCM(869,339) = 294591
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FAQs on GCF of Fractions of 7733/869, 9398/339
1. What is the HCF of 7733,9398?
The HCF of 7733,9398 is 37
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 7733/869, 9398/339?
Answer: GCF of Numerators as per given numbers 7733/869, 9398/339 is
GCF of Numerators i.e. for 7733,9398 is 37
LCM of denominators i.e. for 869,339 is 294591.
Thus, GCF of Fractions is 37/294591.Finally, GCF of Fractions for 7733/869, 9398/339 is 37/294591.