GCF of 5981/972, 4312/3604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5981/972, 4312/3604 i.e 1/875772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5981/972, 4312/3604.
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 5981/972,4312/3604?
Given fractions are 5981/972,4312/3604
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 5981/972,4312/3604, numerators are 5981,4312
Denominators are 972,3604
The GCF of 5981,4312 is 1 .
LCM of 972,3604 is 875772.
The greatest common factor of 5981/972,4312/3604 = [GCF of 5981,4312]/[LCM of 972,3604]= 1/875772
Therefore, the GCF of 5981/972,4312/3604 is 1/875772.
To find the highest common factor of 5981,4312, we have to find the factors of both numbers and list the highest common factor.
The factors of 5981 are 1, 5981
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The HCF of 5981,4312 is 1.
Lets's calculate GCF of 5981,4312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5981,4312 By Matching Biggest Common Factor Method
Now, list down the factors of 5981
:1,5981
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 5981,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,4312 is 1.
Lets's calculate LCM of 972,3604
| 2 | 972, 3604 |
| 2 | 486, 1802 |
| 243, 901 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 901 = 875772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/875772
Therefore, the GCF of Fractions 5981/972,4312/3604 is 1/875772
Least Common Multiple of 972,3604 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 972,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,3604) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,3604) x common factors =4 x 1 = 4
LCM(972,3604) = ( 972 × 3604 ) / 4
LCM(972,3604) = 3503088 / 4
LCM(972,3604) = 875772
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FAQs on GCF of Fractions of 5981/972, 4312/3604
1. What is the HCF of 5981,4312?
The HCF of 5981,4312 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 5981/972, 4312/3604?
Answer: GCF of Numerators as per given numbers 5981/972, 4312/3604 is
GCF of Numerators i.e. for 5981,4312 is 1
LCM of denominators i.e. for 972,3604 is 875772.
Thus, GCF of Fractions is 1/875772.Finally, GCF of Fractions for 5981/972, 4312/3604 is 1/875772.