GCF of 7012/837, 4698/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7012/837, 4698/746 i.e 2/624402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7012/837, 4698/746.
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 7012/837,4698/746?
Given fractions are 7012/837,4698/746
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 7012/837,4698/746, numerators are 7012,4698
Denominators are 837,746
The GCF of 7012,4698 is 2 .
LCM of 837,746 is 624402.
The greatest common factor of 7012/837,4698/746 = [GCF of 7012,4698]/[LCM of 837,746]= 2/624402
Therefore, the GCF of 7012/837,4698/746 is 2/624402.
To find the highest common factor of 7012,4698, we have to find the factors of both numbers and list the highest common factor.
The factors of 7012 are 1, 2, 4, 1753, 3506, 7012
The factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698
The HCF of 7012,4698 is 2.
Lets's calculate GCF of 7012,4698
| 2 | 7012, 4698 |
| 3506, 2349 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7012,4698 By Matching Biggest Common Factor Method
Now, list down the factors of 7012
:1,2,4,1753,3506,7012
Now, list down the factors of 4698
:1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698
Greatest Common Factor
We found the factors 7012,4698 . The biggest common factor number is the GCF number.
So the greatest common factor 7012,4698 is 2.
Lets's calculate LCM of 837,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 624402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/624402
Therefore, the GCF of Fractions 7012/837,4698/746 is 2/624402
Least Common Multiple of 837,746 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 837,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,746) x common factors =1 x 1 = 1
LCM(837,746) = ( 837 × 746 ) / 1
LCM(837,746) = 624402 / 1
LCM(837,746) = 624402
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7012/837, 4698/746
1. What is the HCF of 7012,4698?
The HCF of 7012,4698 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 7012/837, 4698/746?
Answer: GCF of Numerators as per given numbers 7012/837, 4698/746 is
GCF of Numerators i.e. for 7012,4698 is 2
LCM of denominators i.e. for 837,746 is 624402.
Thus, GCF of Fractions is 2/624402.Finally, GCF of Fractions for 7012/837, 4698/746 is 2/624402.