GCF of 3921/178, 3979/5688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3921/178, 3979/5688 i.e 1/506232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3921/178, 3979/5688.
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 3921/178,3979/5688?
Given fractions are 3921/178,3979/5688
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 3921/178,3979/5688, numerators are 3921,3979
Denominators are 178,5688
The GCF of 3921,3979 is 1 .
LCM of 178,5688 is 506232.
The greatest common factor of 3921/178,3979/5688 = [GCF of 3921,3979]/[LCM of 178,5688]= 1/506232
Therefore, the GCF of 3921/178,3979/5688 is 1/506232.
To find the highest common factor of 3921,3979, we have to find the factors of both numbers and list the highest common factor.
The factors of 3921 are 1, 3, 1307, 3921
The factors of 3979 are 1, 23, 173, 3979
The HCF of 3921,3979 is 1.
Lets's calculate GCF of 3921,3979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3921,3979 By Matching Biggest Common Factor Method
Now, list down the factors of 3921
:1,3,1307,3921
Now, list down the factors of 3979
:1,23,173,3979
Greatest Common Factor
We found the factors 3921,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,3979 is 1.
Lets's calculate LCM of 178,5688
| 2 | 178, 5688 |
| 89, 2844 |
∴ So the LCM of the given numbers is 2 x 89 x 2844 = 506232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/506232
Therefore, the GCF of Fractions 3921/178,3979/5688 is 1/506232
Least Common Multiple of 178,5688 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 178,5688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,5688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,5688) x common factors =2 x 1 = 2
LCM(178,5688) = ( 178 × 5688 ) / 2
LCM(178,5688) = 1012464 / 2
LCM(178,5688) = 506232
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FAQs on GCF of Fractions of 3921/178, 3979/5688
1. What is the HCF of 3921,3979?
The HCF of 3921,3979 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 3921/178, 3979/5688?
Answer: GCF of Numerators as per given numbers 3921/178, 3979/5688 is
GCF of Numerators i.e. for 3921,3979 is 1
LCM of denominators i.e. for 178,5688 is 506232.
Thus, GCF of Fractions is 1/506232.Finally, GCF of Fractions for 3921/178, 3979/5688 is 1/506232.