GCF of 9449/774, 7538/7904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9449/774, 7538/7904 i.e 1/3058848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9449/774, 7538/7904.
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 9449/774,7538/7904?
Given fractions are 9449/774,7538/7904
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 9449/774,7538/7904, numerators are 9449,7538
Denominators are 774,7904
The GCF of 9449,7538 is 1 .
LCM of 774,7904 is 3058848.
The greatest common factor of 9449/774,7538/7904 = [GCF of 9449,7538]/[LCM of 774,7904]= 1/3058848
Therefore, the GCF of 9449/774,7538/7904 is 1/3058848.
To find the highest common factor of 9449,7538, we have to find the factors of both numbers and list the highest common factor.
The factors of 9449 are 1, 11, 859, 9449
The factors of 7538 are 1, 2, 3769, 7538
The HCF of 9449,7538 is 1.
Lets's calculate GCF of 9449,7538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9449,7538 By Matching Biggest Common Factor Method
Now, list down the factors of 9449
:1,11,859,9449
Now, list down the factors of 7538
:1,2,3769,7538
Greatest Common Factor
We found the factors 9449,7538 . The biggest common factor number is the GCF number.
So the greatest common factor 9449,7538 is 1.
Lets's calculate LCM of 774,7904
| 2 | 774, 7904 |
| 387, 3952 |
∴ So the LCM of the given numbers is 2 x 387 x 3952 = 3058848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3058848
Therefore, the GCF of Fractions 9449/774,7538/7904 is 1/3058848
Least Common Multiple of 774,7904 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 774,7904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,7904) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,7904) x common factors =2 x 1 = 2
LCM(774,7904) = ( 774 × 7904 ) / 2
LCM(774,7904) = 6117696 / 2
LCM(774,7904) = 3058848
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FAQs on GCF of Fractions of 9449/774, 7538/7904
1. What is the HCF of 9449,7538?
The HCF of 9449,7538 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 9449/774, 7538/7904?
Answer: GCF of Numerators as per given numbers 9449/774, 7538/7904 is
GCF of Numerators i.e. for 9449,7538 is 1
LCM of denominators i.e. for 774,7904 is 3058848.
Thus, GCF of Fractions is 1/3058848.Finally, GCF of Fractions for 9449/774, 7538/7904 is 1/3058848.