GCF of 5921/767, 4433/6980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5921/767, 4433/6980 i.e 31/5353660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5921/767, 4433/6980.
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 5921/767,4433/6980?
Given fractions are 5921/767,4433/6980
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 5921/767,4433/6980, numerators are 5921,4433
Denominators are 767,6980
The GCF of 5921,4433 is 31 .
LCM of 767,6980 is 5353660.
The greatest common factor of 5921/767,4433/6980 = [GCF of 5921,4433]/[LCM of 767,6980]= 31/5353660
Therefore, the GCF of 5921/767,4433/6980 is 31/5353660.
To find the highest common factor of 5921,4433, we have to find the factors of both numbers and list the highest common factor.
The factors of 5921 are 1, 31, 191, 5921
The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433
The HCF of 5921,4433 is 31.
Lets's calculate GCF of 5921,4433
| 31 | 5921, 4433 |
| 191, 143 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 5921,4433 By Matching Biggest Common Factor Method
Now, list down the factors of 5921
:1,31,191,5921
Now, list down the factors of 4433
:1,11,13,31,143,341,403,4433
Greatest Common Factor
We found the factors 5921,4433 . The biggest common factor number is the GCF number.
So the greatest common factor 5921,4433 is 31.
Lets's calculate LCM of 767,6980
Given numbers has no common factors except 1. So, there LCM is their product i.e 5353660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/5353660
Therefore, the GCF of Fractions 5921/767,4433/6980 is 31/5353660
Least Common Multiple of 767,6980 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 767,6980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,6980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,6980) x common factors =1 x 1 = 1
LCM(767,6980) = ( 767 × 6980 ) / 1
LCM(767,6980) = 5353660 / 1
LCM(767,6980) = 5353660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5921/767, 4433/6980
1. What is the HCF of 5921,4433?
The HCF of 5921,4433 is 31
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 5921/767, 4433/6980?
Answer: GCF of Numerators as per given numbers 5921/767, 4433/6980 is
GCF of Numerators i.e. for 5921,4433 is 31
LCM of denominators i.e. for 767,6980 is 5353660.
Thus, GCF of Fractions is 31/5353660.Finally, GCF of Fractions for 5921/767, 4433/6980 is 31/5353660.