GCF of 9344/394, 7578/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9344/394, 7578/770 i.e 2/151690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9344/394, 7578/770.
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 9344/394,7578/770?
Given fractions are 9344/394,7578/770
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 9344/394,7578/770, numerators are 9344,7578
Denominators are 394,770
The GCF of 9344,7578 is 2 .
LCM of 394,770 is 151690.
The greatest common factor of 9344/394,7578/770 = [GCF of 9344,7578]/[LCM of 394,770]= 2/151690
Therefore, the GCF of 9344/394,7578/770 is 2/151690.
To find the highest common factor of 9344,7578, we have to find the factors of both numbers and list the highest common factor.
The factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344
The factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578
The HCF of 9344,7578 is 2.
Lets's calculate GCF of 9344,7578
| 2 | 9344, 7578 |
| 4672, 3789 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9344,7578 By Matching Biggest Common Factor Method
Now, list down the factors of 9344
:1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344
Now, list down the factors of 7578
:1,2,3,6,9,18,421,842,1263,2526,3789,7578
Greatest Common Factor
We found the factors 9344,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 9344,7578 is 2.
Lets's calculate LCM of 394,770
| 2 | 394, 770 |
| 197, 385 |
∴ So the LCM of the given numbers is 2 x 197 x 385 = 151690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151690
Therefore, the GCF of Fractions 9344/394,7578/770 is 2/151690
Least Common Multiple of 394,770 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 394,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,770) x common factors =2 x 1 = 2
LCM(394,770) = ( 394 × 770 ) / 2
LCM(394,770) = 303380 / 2
LCM(394,770) = 151690
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FAQs on GCF of Fractions of 9344/394, 7578/770
1. What is the HCF of 9344,7578?
The HCF of 9344,7578 is 2
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 9344/394, 7578/770?
Answer: GCF of Numerators as per given numbers 9344/394, 7578/770 is
GCF of Numerators i.e. for 9344,7578 is 2
LCM of denominators i.e. for 394,770 is 151690.
Thus, GCF of Fractions is 2/151690.Finally, GCF of Fractions for 9344/394, 7578/770 is 2/151690.