GCF of 985/584, 274/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 985/584, 274/217 i.e 1/126728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/584, 274/217.
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 985/584,274/217?
Given fractions are 985/584,274/217
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 985/584,274/217, numerators are 985,274
Denominators are 584,217
The GCF of 985,274 is 1 .
LCM of 584,217 is 126728.
The greatest common factor of 985/584,274/217 = [GCF of 985,274]/[LCM of 584,217]= 1/126728
Therefore, the GCF of 985/584,274/217 is 1/126728.
To find the highest common factor of 985,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 274 are 1, 2, 137, 274
The HCF of 985,274 is 1.
Lets's calculate GCF of 985,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 985,274 By Matching Biggest Common Factor Method
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 985,274 . The biggest common factor number is the GCF number.
So the greatest common factor 985,274 is 1.
Lets's calculate LCM of 584,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 126728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126728
Therefore, the GCF of Fractions 985/584,274/217 is 1/126728
Least Common Multiple of 584,217 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 584,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,217) x common factors =1 x 1 = 1
LCM(584,217) = ( 584 × 217 ) / 1
LCM(584,217) = 126728 / 1
LCM(584,217) = 126728
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FAQs on GCF of Fractions of 985/584, 274/217
1. What is the HCF of 985,274?
The HCF of 985,274 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 985/584, 274/217?
Answer: GCF of Numerators as per given numbers 985/584, 274/217 is
GCF of Numerators i.e. for 985,274 is 1
LCM of denominators i.e. for 584,217 is 126728.
Thus, GCF of Fractions is 1/126728.Finally, GCF of Fractions for 985/584, 274/217 is 1/126728.