GCF of 1121/642, 1567/8114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1121/642, 1567/8114 i.e 1/2604594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1121/642, 1567/8114.
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 1121/642,1567/8114?
Given fractions are 1121/642,1567/8114
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 1121/642,1567/8114, numerators are 1121,1567
Denominators are 642,8114
The GCF of 1121,1567 is 1 .
LCM of 642,8114 is 2604594.
The greatest common factor of 1121/642,1567/8114 = [GCF of 1121,1567]/[LCM of 642,8114]= 1/2604594
Therefore, the GCF of 1121/642,1567/8114 is 1/2604594.
To find the highest common factor of 1121,1567, we have to find the factors of both numbers and list the highest common factor.
The factors of 1121 are 1, 19, 59, 1121
The factors of 1567 are 1, 1567
The HCF of 1121,1567 is 1.
Lets's calculate GCF of 1121,1567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1121,1567 By Matching Biggest Common Factor Method
Now, list down the factors of 1121
:1,19,59,1121
Now, list down the factors of 1567
:1,1567
Greatest Common Factor
We found the factors 1121,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 1121,1567 is 1.
Lets's calculate LCM of 642,8114
| 2 | 642, 8114 |
| 321, 4057 |
∴ So the LCM of the given numbers is 2 x 321 x 4057 = 2604594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604594
Therefore, the GCF of Fractions 1121/642,1567/8114 is 1/2604594
Least Common Multiple of 642,8114 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 642,8114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,8114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,8114) x common factors =2 x 1 = 2
LCM(642,8114) = ( 642 × 8114 ) / 2
LCM(642,8114) = 5209188 / 2
LCM(642,8114) = 2604594
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FAQs on GCF of Fractions of 1121/642, 1567/8114
1. What is the HCF of 1121,1567?
The HCF of 1121,1567 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 1121/642, 1567/8114?
Answer: GCF of Numerators as per given numbers 1121/642, 1567/8114 is
GCF of Numerators i.e. for 1121,1567 is 1
LCM of denominators i.e. for 642,8114 is 2604594.
Thus, GCF of Fractions is 1/2604594.Finally, GCF of Fractions for 1121/642, 1567/8114 is 1/2604594.