GCF of 5645/632, 7678/917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5645/632, 7678/917 i.e 1/579544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5645/632, 7678/917.
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 5645/632,7678/917?
Given fractions are 5645/632,7678/917
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 5645/632,7678/917, numerators are 5645,7678
Denominators are 632,917
The GCF of 5645,7678 is 1 .
LCM of 632,917 is 579544.
The greatest common factor of 5645/632,7678/917 = [GCF of 5645,7678]/[LCM of 632,917]= 1/579544
Therefore, the GCF of 5645/632,7678/917 is 1/579544.
To find the highest common factor of 5645,7678, we have to find the factors of both numbers and list the highest common factor.
The factors of 5645 are 1, 5, 1129, 5645
The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678
The HCF of 5645,7678 is 1.
Lets's calculate GCF of 5645,7678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5645,7678 By Matching Biggest Common Factor Method
Now, list down the factors of 5645
:1,5,1129,5645
Now, list down the factors of 7678
:1,2,11,22,349,698,3839,7678
Greatest Common Factor
We found the factors 5645,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 5645,7678 is 1.
Lets's calculate LCM of 632,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 579544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/579544
Therefore, the GCF of Fractions 5645/632,7678/917 is 1/579544
Least Common Multiple of 632,917 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 632,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,917) x common factors =1 x 1 = 1
LCM(632,917) = ( 632 × 917 ) / 1
LCM(632,917) = 579544 / 1
LCM(632,917) = 579544
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FAQs on GCF of Fractions of 5645/632, 7678/917
1. What is the HCF of 5645,7678?
The HCF of 5645,7678 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 5645/632, 7678/917?
Answer: GCF of Numerators as per given numbers 5645/632, 7678/917 is
GCF of Numerators i.e. for 5645,7678 is 1
LCM of denominators i.e. for 632,917 is 579544.
Thus, GCF of Fractions is 1/579544.Finally, GCF of Fractions for 5645/632, 7678/917 is 1/579544.