GCF of 3692/550, 3134/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3692/550, 3134/415 i.e 2/45650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3692/550, 3134/415.
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 3692/550,3134/415?
Given fractions are 3692/550,3134/415
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 3692/550,3134/415, numerators are 3692,3134
Denominators are 550,415
The GCF of 3692,3134 is 2 .
LCM of 550,415 is 45650.
The greatest common factor of 3692/550,3134/415 = [GCF of 3692,3134]/[LCM of 550,415]= 2/45650
Therefore, the GCF of 3692/550,3134/415 is 2/45650.
To find the highest common factor of 3692,3134, we have to find the factors of both numbers and list the highest common factor.
The factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692
The factors of 3134 are 1, 2, 1567, 3134
The HCF of 3692,3134 is 2.
Lets's calculate GCF of 3692,3134
| 2 | 3692, 3134 |
| 1846, 1567 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3692,3134 By Matching Biggest Common Factor Method
Now, list down the factors of 3692
:1,2,4,13,26,52,71,142,284,923,1846,3692
Now, list down the factors of 3134
:1,2,1567,3134
Greatest Common Factor
We found the factors 3692,3134 . The biggest common factor number is the GCF number.
So the greatest common factor 3692,3134 is 2.
Lets's calculate LCM of 550,415
| 5 | 550, 415 |
| 110, 83 |
∴ So the LCM of the given numbers is 5 x 110 x 83 = 45650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45650
Therefore, the GCF of Fractions 3692/550,3134/415 is 2/45650
Least Common Multiple of 550,415 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 550,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(550,415) x common factors =5 x 1 = 5
LCM(550,415) = ( 550 × 415 ) / 5
LCM(550,415) = 228250 / 5
LCM(550,415) = 45650
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FAQs on GCF of Fractions of 3692/550, 3134/415
1. What is the HCF of 3692,3134?
The HCF of 3692,3134 is 2
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 3692/550, 3134/415?
Answer: GCF of Numerators as per given numbers 3692/550, 3134/415 is
GCF of Numerators i.e. for 3692,3134 is 2
LCM of denominators i.e. for 550,415 is 45650.
Thus, GCF of Fractions is 2/45650.Finally, GCF of Fractions for 3692/550, 3134/415 is 2/45650.