GCF of 4178/913, 7599/626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4178/913, 7599/626 i.e 1/571538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4178/913, 7599/626.
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 4178/913,7599/626?
Given fractions are 4178/913,7599/626
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 4178/913,7599/626, numerators are 4178,7599
Denominators are 913,626
The GCF of 4178,7599 is 1 .
LCM of 913,626 is 571538.
The greatest common factor of 4178/913,7599/626 = [GCF of 4178,7599]/[LCM of 913,626]= 1/571538
Therefore, the GCF of 4178/913,7599/626 is 1/571538.
To find the highest common factor of 4178,7599, we have to find the factors of both numbers and list the highest common factor.
The factors of 4178 are 1, 2, 2089, 4178
The factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599
The HCF of 4178,7599 is 1.
Lets's calculate GCF of 4178,7599
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4178,7599 By Matching Biggest Common Factor Method
Now, list down the factors of 4178
:1,2,2089,4178
Now, list down the factors of 7599
:1,3,17,51,149,447,2533,7599
Greatest Common Factor
We found the factors 4178,7599 . The biggest common factor number is the GCF number.
So the greatest common factor 4178,7599 is 1.
Lets's calculate LCM of 913,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 571538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571538
Therefore, the GCF of Fractions 4178/913,7599/626 is 1/571538
Least Common Multiple of 913,626 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 913,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,626) x common factors =1 x 1 = 1
LCM(913,626) = ( 913 × 626 ) / 1
LCM(913,626) = 571538 / 1
LCM(913,626) = 571538
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FAQs on GCF of Fractions of 4178/913, 7599/626
1. What is the HCF of 4178,7599?
The HCF of 4178,7599 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 4178/913, 7599/626?
Answer: GCF of Numerators as per given numbers 4178/913, 7599/626 is
GCF of Numerators i.e. for 4178,7599 is 1
LCM of denominators i.e. for 913,626 is 571538.
Thus, GCF of Fractions is 1/571538.Finally, GCF of Fractions for 4178/913, 7599/626 is 1/571538.