GCF of 3473/271, 5134/8558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3473/271, 5134/8558 i.e 151/2319218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3473/271, 5134/8558.
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 3473/271,5134/8558?
Given fractions are 3473/271,5134/8558
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 3473/271,5134/8558, numerators are 3473,5134
Denominators are 271,8558
The GCF of 3473,5134 is 151 .
LCM of 271,8558 is 2319218.
The greatest common factor of 3473/271,5134/8558 = [GCF of 3473,5134]/[LCM of 271,8558]= 151/2319218
Therefore, the GCF of 3473/271,5134/8558 is 151/2319218.
To find the highest common factor of 3473,5134, we have to find the factors of both numbers and list the highest common factor.
The factors of 3473 are 1, 23, 151, 3473
The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134
The HCF of 3473,5134 is 151.
Lets's calculate GCF of 3473,5134
| 151 | 3473, 5134 |
| 23, 34 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 3473,5134 By Matching Biggest Common Factor Method
Now, list down the factors of 3473
:1,23,151,3473
Now, list down the factors of 5134
:1,2,17,34,151,302,2567,5134
Greatest Common Factor
We found the factors 3473,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 3473,5134 is 151.
Lets's calculate LCM of 271,8558
Given numbers has no common factors except 1. So, there LCM is their product i.e 2319218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/2319218
Therefore, the GCF of Fractions 3473/271,5134/8558 is 151/2319218
Least Common Multiple of 271,8558 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 271,8558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,8558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,8558) x common factors =1 x 1 = 1
LCM(271,8558) = ( 271 × 8558 ) / 1
LCM(271,8558) = 2319218 / 1
LCM(271,8558) = 2319218
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FAQs on GCF of Fractions of 3473/271, 5134/8558
1. What is the HCF of 3473,5134?
The HCF of 3473,5134 is 151
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 3473/271, 5134/8558?
Answer: GCF of Numerators as per given numbers 3473/271, 5134/8558 is
GCF of Numerators i.e. for 3473,5134 is 151
LCM of denominators i.e. for 271,8558 is 2319218.
Thus, GCF of Fractions is 151/2319218.Finally, GCF of Fractions for 3473/271, 5134/8558 is 151/2319218.