GCF of 9487/302, 1098/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9487/302, 1098/314 i.e 1/47414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9487/302, 1098/314.
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 9487/302,1098/314?
Given fractions are 9487/302,1098/314
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 9487/302,1098/314, numerators are 9487,1098
Denominators are 302,314
The GCF of 9487,1098 is 1 .
LCM of 302,314 is 47414.
The greatest common factor of 9487/302,1098/314 = [GCF of 9487,1098]/[LCM of 302,314]= 1/47414
Therefore, the GCF of 9487/302,1098/314 is 1/47414.
To find the highest common factor of 9487,1098, we have to find the factors of both numbers and list the highest common factor.
The factors of 9487 are 1, 53, 179, 9487
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098
The HCF of 9487,1098 is 1.
Lets's calculate GCF of 9487,1098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9487,1098 By Matching Biggest Common Factor Method
Now, list down the factors of 9487
:1,53,179,9487
Now, list down the factors of 1098
:1,2,3,6,9,18,61,122,183,366,549,1098
Greatest Common Factor
We found the factors 9487,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 9487,1098 is 1.
Lets's calculate LCM of 302,314
| 2 | 302, 314 |
| 151, 157 |
∴ So the LCM of the given numbers is 2 x 151 x 157 = 47414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47414
Therefore, the GCF of Fractions 9487/302,1098/314 is 1/47414
Least Common Multiple of 302,314 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 302,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,314) x common factors =2 x 1 = 2
LCM(302,314) = ( 302 × 314 ) / 2
LCM(302,314) = 94828 / 2
LCM(302,314) = 47414
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FAQs on GCF of Fractions of 9487/302, 1098/314
1. What is the HCF of 9487,1098?
The HCF of 9487,1098 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 9487/302, 1098/314?
Answer: GCF of Numerators as per given numbers 9487/302, 1098/314 is
GCF of Numerators i.e. for 9487,1098 is 1
LCM of denominators i.e. for 302,314 is 47414.
Thus, GCF of Fractions is 1/47414.Finally, GCF of Fractions for 9487/302, 1098/314 is 1/47414.