GCF of 8545/942, 7400/342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8545/942, 7400/342 i.e 5/53694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8545/942, 7400/342.
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 8545/942,7400/342?
Given fractions are 8545/942,7400/342
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 8545/942,7400/342, numerators are 8545,7400
Denominators are 942,342
The GCF of 8545,7400 is 5 .
LCM of 942,342 is 53694.
The greatest common factor of 8545/942,7400/342 = [GCF of 8545,7400]/[LCM of 942,342]= 5/53694
Therefore, the GCF of 8545/942,7400/342 is 5/53694.
To find the highest common factor of 8545,7400, we have to find the factors of both numbers and list the highest common factor.
The factors of 8545 are 1, 5, 1709, 8545
The factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400
The HCF of 8545,7400 is 5.
Lets's calculate GCF of 8545,7400
| 5 | 8545, 7400 |
| 1709, 1480 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8545,7400 By Matching Biggest Common Factor Method
Now, list down the factors of 8545
:1,5,1709,8545
Now, list down the factors of 7400
:1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 8545,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 8545,7400 is 5.
Lets's calculate LCM of 942,342
| 2 | 942, 342 |
| 3 | 471, 171 |
| 157, 57 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 57 = 53694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/53694
Therefore, the GCF of Fractions 8545/942,7400/342 is 5/53694
Least Common Multiple of 942,342 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 942,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,342) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,342) x common factors =6 x 1 = 6
LCM(942,342) = ( 942 × 342 ) / 6
LCM(942,342) = 322164 / 6
LCM(942,342) = 53694
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FAQs on GCF of Fractions of 8545/942, 7400/342
1. What is the HCF of 8545,7400?
The HCF of 8545,7400 is 5
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 8545/942, 7400/342?
Answer: GCF of Numerators as per given numbers 8545/942, 7400/342 is
GCF of Numerators i.e. for 8545,7400 is 5
LCM of denominators i.e. for 942,342 is 53694.
Thus, GCF of Fractions is 5/53694.Finally, GCF of Fractions for 8545/942, 7400/342 is 5/53694.