GCF of 1636/752, 2916/7022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1636/752, 2916/7022 i.e 4/2640272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1636/752, 2916/7022.
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 1636/752,2916/7022?
Given fractions are 1636/752,2916/7022
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 1636/752,2916/7022, numerators are 1636,2916
Denominators are 752,7022
The GCF of 1636,2916 is 4 .
LCM of 752,7022 is 2640272.
The greatest common factor of 1636/752,2916/7022 = [GCF of 1636,2916]/[LCM of 752,7022]= 4/2640272
Therefore, the GCF of 1636/752,2916/7022 is 4/2640272.
To find the highest common factor of 1636,2916, we have to find the factors of both numbers and list the highest common factor.
The factors of 1636 are 1, 2, 4, 409, 818, 1636
The factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916
The HCF of 1636,2916 is 4.
Lets's calculate GCF of 1636,2916
| 2 | 1636, 2916 |
| 2 | 818, 1458 |
| 409, 729 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1636,2916 By Matching Biggest Common Factor Method
Now, list down the factors of 1636
:1,2,4,409,818,1636
Now, list down the factors of 2916
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916
Greatest Common Factor
We found the factors 1636,2916 . The biggest common factor number is the GCF number.
So the greatest common factor 1636,2916 is 4.
Lets's calculate LCM of 752,7022
| 2 | 752, 7022 |
| 376, 3511 |
∴ So the LCM of the given numbers is 2 x 376 x 3511 = 2640272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2640272
Therefore, the GCF of Fractions 1636/752,2916/7022 is 4/2640272
Least Common Multiple of 752,7022 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 752,7022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,7022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,7022) x common factors =2 x 1 = 2
LCM(752,7022) = ( 752 × 7022 ) / 2
LCM(752,7022) = 5280544 / 2
LCM(752,7022) = 2640272
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1636/752, 2916/7022
1. What is the HCF of 1636,2916?
The HCF of 1636,2916 is 4
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 1636/752, 2916/7022?
Answer: GCF of Numerators as per given numbers 1636/752, 2916/7022 is
GCF of Numerators i.e. for 1636,2916 is 4
LCM of denominators i.e. for 752,7022 is 2640272.
Thus, GCF of Fractions is 4/2640272.Finally, GCF of Fractions for 1636/752, 2916/7022 is 4/2640272.