GCF of 1486/495, 4206/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1486/495, 4206/634 i.e 2/313830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1486/495, 4206/634.
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 1486/495,4206/634?
Given fractions are 1486/495,4206/634
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 1486/495,4206/634, numerators are 1486,4206
Denominators are 495,634
The GCF of 1486,4206 is 2 .
LCM of 495,634 is 313830.
The greatest common factor of 1486/495,4206/634 = [GCF of 1486,4206]/[LCM of 495,634]= 2/313830
Therefore, the GCF of 1486/495,4206/634 is 2/313830.
To find the highest common factor of 1486,4206, we have to find the factors of both numbers and list the highest common factor.
The factors of 1486 are 1, 2, 743, 1486
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The HCF of 1486,4206 is 2.
Lets's calculate GCF of 1486,4206
| 2 | 1486, 4206 |
| 743, 2103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1486,4206 By Matching Biggest Common Factor Method
Now, list down the factors of 1486
:1,2,743,1486
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 1486,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 1486,4206 is 2.
Lets's calculate LCM of 495,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 313830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313830
Therefore, the GCF of Fractions 1486/495,4206/634 is 2/313830
Least Common Multiple of 495,634 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 495,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,634) x common factors =1 x 1 = 1
LCM(495,634) = ( 495 × 634 ) / 1
LCM(495,634) = 313830 / 1
LCM(495,634) = 313830
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FAQs on GCF of Fractions of 1486/495, 4206/634
1. What is the HCF of 1486,4206?
The HCF of 1486,4206 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 1486/495, 4206/634?
Answer: GCF of Numerators as per given numbers 1486/495, 4206/634 is
GCF of Numerators i.e. for 1486,4206 is 2
LCM of denominators i.e. for 495,634 is 313830.
Thus, GCF of Fractions is 2/313830.Finally, GCF of Fractions for 1486/495, 4206/634 is 2/313830.