GCF of 1070/629, 8835/1824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1070/629, 8835/1824 i.e 5/1147296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1070/629, 8835/1824.
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 1070/629,8835/1824?
Given fractions are 1070/629,8835/1824
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 1070/629,8835/1824, numerators are 1070,8835
Denominators are 629,1824
The GCF of 1070,8835 is 5 .
LCM of 629,1824 is 1147296.
The greatest common factor of 1070/629,8835/1824 = [GCF of 1070,8835]/[LCM of 629,1824]= 5/1147296
Therefore, the GCF of 1070/629,8835/1824 is 5/1147296.
To find the highest common factor of 1070,8835, we have to find the factors of both numbers and list the highest common factor.
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070
The factors of 8835 are 1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835
The HCF of 1070,8835 is 5.
Lets's calculate GCF of 1070,8835
| 5 | 1070, 8835 |
| 214, 1767 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1070,8835 By Matching Biggest Common Factor Method
Now, list down the factors of 1070
:1,2,5,10,107,214,535,1070
Now, list down the factors of 8835
:1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Greatest Common Factor
We found the factors 1070,8835 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,8835 is 5.
Lets's calculate LCM of 629,1824
Given numbers has no common factors except 1. So, there LCM is their product i.e 1147296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1147296
Therefore, the GCF of Fractions 1070/629,8835/1824 is 5/1147296
Least Common Multiple of 629,1824 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 629,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,1824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,1824) x common factors =1 x 1 = 1
LCM(629,1824) = ( 629 × 1824 ) / 1
LCM(629,1824) = 1147296 / 1
LCM(629,1824) = 1147296
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FAQs on GCF of Fractions of 1070/629, 8835/1824
1. What is the HCF of 1070,8835?
The HCF of 1070,8835 is 5
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 1070/629, 8835/1824?
Answer: GCF of Numerators as per given numbers 1070/629, 8835/1824 is
GCF of Numerators i.e. for 1070,8835 is 5
LCM of denominators i.e. for 629,1824 is 1147296.
Thus, GCF of Fractions is 5/1147296.Finally, GCF of Fractions for 1070/629, 8835/1824 is 5/1147296.