GCF of 7454/106, 7567/2021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7454/106, 7567/2021 i.e 1/214226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7454/106, 7567/2021.
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 7454/106,7567/2021?
Given fractions are 7454/106,7567/2021
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 7454/106,7567/2021, numerators are 7454,7567
Denominators are 106,2021
The GCF of 7454,7567 is 1 .
LCM of 106,2021 is 214226.
The greatest common factor of 7454/106,7567/2021 = [GCF of 7454,7567]/[LCM of 106,2021]= 1/214226
Therefore, the GCF of 7454/106,7567/2021 is 1/214226.
To find the highest common factor of 7454,7567, we have to find the factors of both numbers and list the highest common factor.
The factors of 7454 are 1, 2, 3727, 7454
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The HCF of 7454,7567 is 1.
Lets's calculate GCF of 7454,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7454,7567 By Matching Biggest Common Factor Method
Now, list down the factors of 7454
:1,2,3727,7454
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 7454,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 7454,7567 is 1.
Lets's calculate LCM of 106,2021
Given numbers has no common factors except 1. So, there LCM is their product i.e 214226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214226
Therefore, the GCF of Fractions 7454/106,7567/2021 is 1/214226
Least Common Multiple of 106,2021 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 106,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,2021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,2021) x common factors =1 x 1 = 1
LCM(106,2021) = ( 106 × 2021 ) / 1
LCM(106,2021) = 214226 / 1
LCM(106,2021) = 214226
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FAQs on GCF of Fractions of 7454/106, 7567/2021
1. What is the HCF of 7454,7567?
The HCF of 7454,7567 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 7454/106, 7567/2021?
Answer: GCF of Numerators as per given numbers 7454/106, 7567/2021 is
GCF of Numerators i.e. for 7454,7567 is 1
LCM of denominators i.e. for 106,2021 is 214226.
Thus, GCF of Fractions is 1/214226.Finally, GCF of Fractions for 7454/106, 7567/2021 is 1/214226.