GCF of 5650/237, 5487/5984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5650/237, 5487/5984 i.e 1/1418208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5650/237, 5487/5984.
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 5650/237,5487/5984?
Given fractions are 5650/237,5487/5984
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 5650/237,5487/5984, numerators are 5650,5487
Denominators are 237,5984
The GCF of 5650,5487 is 1 .
LCM of 237,5984 is 1418208.
The greatest common factor of 5650/237,5487/5984 = [GCF of 5650,5487]/[LCM of 237,5984]= 1/1418208
Therefore, the GCF of 5650/237,5487/5984 is 1/1418208.
To find the highest common factor of 5650,5487, we have to find the factors of both numbers and list the highest common factor.
The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650
The factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487
The HCF of 5650,5487 is 1.
Lets's calculate GCF of 5650,5487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5650,5487 By Matching Biggest Common Factor Method
Now, list down the factors of 5650
:1,2,5,10,25,50,113,226,565,1130,2825,5650
Now, list down the factors of 5487
:1,3,31,59,93,177,1829,5487
Greatest Common Factor
We found the factors 5650,5487 . The biggest common factor number is the GCF number.
So the greatest common factor 5650,5487 is 1.
Lets's calculate LCM of 237,5984
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418208
Therefore, the GCF of Fractions 5650/237,5487/5984 is 1/1418208
Least Common Multiple of 237,5984 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 237,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,5984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,5984) x common factors =1 x 1 = 1
LCM(237,5984) = ( 237 × 5984 ) / 1
LCM(237,5984) = 1418208 / 1
LCM(237,5984) = 1418208
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FAQs on GCF of Fractions of 5650/237, 5487/5984
1. What is the HCF of 5650,5487?
The HCF of 5650,5487 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 5650/237, 5487/5984?
Answer: GCF of Numerators as per given numbers 5650/237, 5487/5984 is
GCF of Numerators i.e. for 5650,5487 is 1
LCM of denominators i.e. for 237,5984 is 1418208.
Thus, GCF of Fractions is 1/1418208.Finally, GCF of Fractions for 5650/237, 5487/5984 is 1/1418208.