GCF of 974/39, 167/2645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/39, 167/2645 i.e 1/103155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/39, 167/2645.
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 974/39,167/2645?
Given fractions are 974/39,167/2645
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 974/39,167/2645, numerators are 974,167
Denominators are 39,2645
The GCF of 974,167 is 1 .
LCM of 39,2645 is 103155.
The greatest common factor of 974/39,167/2645 = [GCF of 974,167]/[LCM of 39,2645]= 1/103155
Therefore, the GCF of 974/39,167/2645 is 1/103155.
To find the highest common factor of 974,167, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 167 are 1, 167
The HCF of 974,167 is 1.
Lets's calculate GCF of 974,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 974,167 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 167
:1,167
Greatest Common Factor
We found the factors 974,167 . The biggest common factor number is the GCF number.
So the greatest common factor 974,167 is 1.
Lets's calculate LCM of 39,2645
Given numbers has no common factors except 1. So, there LCM is their product i.e 103155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103155
Therefore, the GCF of Fractions 974/39,167/2645 is 1/103155
Least Common Multiple of 39,2645 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 39,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,2645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,2645) x common factors =1 x 1 = 1
LCM(39,2645) = ( 39 × 2645 ) / 1
LCM(39,2645) = 103155 / 1
LCM(39,2645) = 103155
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FAQs on GCF of Fractions of 974/39, 167/2645
1. What is the HCF of 974,167?
The HCF of 974,167 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 974/39, 167/2645?
Answer: GCF of Numerators as per given numbers 974/39, 167/2645 is
GCF of Numerators i.e. for 974,167 is 1
LCM of denominators i.e. for 39,2645 is 103155.
Thus, GCF of Fractions is 1/103155.Finally, GCF of Fractions for 974/39, 167/2645 is 1/103155.