GCF of 5953/632, 6117/8289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5953/632, 6117/8289 i.e 1/5238648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5953/632, 6117/8289.
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 5953/632,6117/8289?
Given fractions are 5953/632,6117/8289
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 5953/632,6117/8289, numerators are 5953,6117
Denominators are 632,8289
The GCF of 5953,6117 is 1 .
LCM of 632,8289 is 5238648.
The greatest common factor of 5953/632,6117/8289 = [GCF of 5953,6117]/[LCM of 632,8289]= 1/5238648
Therefore, the GCF of 5953/632,6117/8289 is 1/5238648.
To find the highest common factor of 5953,6117, we have to find the factors of both numbers and list the highest common factor.
The factors of 5953 are 1, 5953
The factors of 6117 are 1, 3, 2039, 6117
The HCF of 5953,6117 is 1.
Lets's calculate GCF of 5953,6117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5953,6117 By Matching Biggest Common Factor Method
Now, list down the factors of 5953
:1,5953
Now, list down the factors of 6117
:1,3,2039,6117
Greatest Common Factor
We found the factors 5953,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 5953,6117 is 1.
Lets's calculate LCM of 632,8289
Given numbers has no common factors except 1. So, there LCM is their product i.e 5238648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5238648
Therefore, the GCF of Fractions 5953/632,6117/8289 is 1/5238648
Least Common Multiple of 632,8289 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 632,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,8289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,8289) x common factors =1 x 1 = 1
LCM(632,8289) = ( 632 × 8289 ) / 1
LCM(632,8289) = 5238648 / 1
LCM(632,8289) = 5238648
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FAQs on GCF of Fractions of 5953/632, 6117/8289
1. What is the HCF of 5953,6117?
The HCF of 5953,6117 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 5953/632, 6117/8289?
Answer: GCF of Numerators as per given numbers 5953/632, 6117/8289 is
GCF of Numerators i.e. for 5953,6117 is 1
LCM of denominators i.e. for 632,8289 is 5238648.
Thus, GCF of Fractions is 1/5238648.Finally, GCF of Fractions for 5953/632, 6117/8289 is 1/5238648.