GCF of 1174/740, 9194/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1174/740, 9194/777 i.e 2/15540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1174/740, 9194/777.
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 1174/740,9194/777?
Given fractions are 1174/740,9194/777
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 1174/740,9194/777, numerators are 1174,9194
Denominators are 740,777
The GCF of 1174,9194 is 2 .
LCM of 740,777 is 15540.
The greatest common factor of 1174/740,9194/777 = [GCF of 1174,9194]/[LCM of 740,777]= 2/15540
Therefore, the GCF of 1174/740,9194/777 is 2/15540.
To find the highest common factor of 1174,9194, we have to find the factors of both numbers and list the highest common factor.
The factors of 1174 are 1, 2, 587, 1174
The factors of 9194 are 1, 2, 4597, 9194
The HCF of 1174,9194 is 2.
Lets's calculate GCF of 1174,9194
| 2 | 1174, 9194 |
| 587, 4597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1174,9194 By Matching Biggest Common Factor Method
Now, list down the factors of 1174
:1,2,587,1174
Now, list down the factors of 9194
:1,2,4597,9194
Greatest Common Factor
We found the factors 1174,9194 . The biggest common factor number is the GCF number.
So the greatest common factor 1174,9194 is 2.
Lets's calculate LCM of 740,777
| 37 | 740, 777 |
| 20, 21 |
∴ So the LCM of the given numbers is 37 x 20 x 21 = 15540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15540
Therefore, the GCF of Fractions 1174/740,9194/777 is 2/15540
Least Common Multiple of 740,777 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 740,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,777) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(740,777) x common factors =37 x 1 = 37
LCM(740,777) = ( 740 × 777 ) / 37
LCM(740,777) = 574980 / 37
LCM(740,777) = 15540
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FAQs on GCF of Fractions of 1174/740, 9194/777
1. What is the HCF of 1174,9194?
The HCF of 1174,9194 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 1174/740, 9194/777?
Answer: GCF of Numerators as per given numbers 1174/740, 9194/777 is
GCF of Numerators i.e. for 1174,9194 is 2
LCM of denominators i.e. for 740,777 is 15540.
Thus, GCF of Fractions is 2/15540.Finally, GCF of Fractions for 1174/740, 9194/777 is 2/15540.