GCF of 793/354, 932/854, 368/373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/354, 932/854, 368/373 i.e 1/56381934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/354, 932/854, 368/373.
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 793/354,932/854,368/373?
Given fractions are 793/354,932/854,368/373
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 793/354,932/854,368/373, numerators are 793,932,368
Denominators are 354,854,373
The GCF of 793,932,368 is 1 .
LCM of 354,854,373 is 56381934.
The greatest common factor of 793/354,932/854,368/373 = [GCF of 793,932,368]/[LCM of 354,854,373]= 1/56381934
Therefore, the GCF of 793/354,932/854,368/373 is 1/56381934.
To find the highest common factor of 793,932,368, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 932 are 1, 2, 4, 233, 466, 932
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 793,932,368 is 1.
Lets's calculate GCF of 793,932,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 793,932,368 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 932
:1,2,4,233,466,932
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 793,932,368 . The biggest common factor number is the GCF number.
So the greatest common factor 793,932,368 is 1.
Lets's calculate LCM of 354,854,373
| 2 | 354, 854, 373 |
| 177, 427, 373 |
∴ So the LCM of the given numbers is 2 x 177 x 427 x 373 = 56381934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56381934
Therefore, the GCF of Fractions 793/354,932/854,368/373 is 1/56381934
Least Common Multiple of 354,854,373 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 354,854,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,854,373) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(354,854,373) x common factors =1 x 2 = 2
LCM(354,854,373) = ( 354 × 854 × 373 ) / 2
LCM(354,854,373) = 112763868 / 2
LCM(354,854,373) = 56381934
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FAQs on GCF of Fractions of 793/354, 932/854, 368/373
1. What is the HCF of 793,932,368?
The HCF of 793,932,368 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 793/354, 932/854, 368/373?
Answer: GCF of Numerators as per given numbers 793/354, 932/854, 368/373 is
GCF of Numerators i.e. for 793,932,368 is 1
LCM of denominators i.e. for 354,854,373 is 56381934.
Thus, GCF of Fractions is 1/56381934.Finally, GCF of Fractions for 793/354, 932/854, 368/373 is 1/56381934.