GCF of 1674/942, 9845/8316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1674/942, 9845/8316 i.e 1/1305612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1674/942, 9845/8316.
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 1674/942,9845/8316?
Given fractions are 1674/942,9845/8316
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 1674/942,9845/8316, numerators are 1674,9845
Denominators are 942,8316
The GCF of 1674,9845 is 1 .
LCM of 942,8316 is 1305612.
The greatest common factor of 1674/942,9845/8316 = [GCF of 1674,9845]/[LCM of 942,8316]= 1/1305612
Therefore, the GCF of 1674/942,9845/8316 is 1/1305612.
To find the highest common factor of 1674,9845, we have to find the factors of both numbers and list the highest common factor.
The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845
The HCF of 1674,9845 is 1.
Lets's calculate GCF of 1674,9845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1674,9845 By Matching Biggest Common Factor Method
Now, list down the factors of 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Now, list down the factors of 9845
:1,5,11,55,179,895,1969,9845
Greatest Common Factor
We found the factors 1674,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 1674,9845 is 1.
Lets's calculate LCM of 942,8316
| 2 | 942, 8316 |
| 3 | 471, 4158 |
| 157, 1386 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 1386 = 1305612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1305612
Therefore, the GCF of Fractions 1674/942,9845/8316 is 1/1305612
Least Common Multiple of 942,8316 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 942,8316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,8316) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,8316) x common factors =6 x 1 = 6
LCM(942,8316) = ( 942 × 8316 ) / 6
LCM(942,8316) = 7833672 / 6
LCM(942,8316) = 1305612
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FAQs on GCF of Fractions of 1674/942, 9845/8316
1. What is the HCF of 1674,9845?
The HCF of 1674,9845 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 1674/942, 9845/8316?
Answer: GCF of Numerators as per given numbers 1674/942, 9845/8316 is
GCF of Numerators i.e. for 1674,9845 is 1
LCM of denominators i.e. for 942,8316 is 1305612.
Thus, GCF of Fractions is 1/1305612.Finally, GCF of Fractions for 1674/942, 9845/8316 is 1/1305612.