GCF of 1010/41, 5928/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1010/41, 5928/689 i.e 2/28249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1010/41, 5928/689.
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 1010/41,5928/689?
Given fractions are 1010/41,5928/689
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 1010/41,5928/689, numerators are 1010,5928
Denominators are 41,689
The GCF of 1010,5928 is 2 .
LCM of 41,689 is 28249.
The greatest common factor of 1010/41,5928/689 = [GCF of 1010,5928]/[LCM of 41,689]= 2/28249
Therefore, the GCF of 1010/41,5928/689 is 2/28249.
To find the highest common factor of 1010,5928, we have to find the factors of both numbers and list the highest common factor.
The factors of 1010 are 1, 2, 5, 10, 101, 202, 505, 1010
The factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928
The HCF of 1010,5928 is 2.
Lets's calculate GCF of 1010,5928
| 2 | 1010, 5928 |
| 505, 2964 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1010,5928 By Matching Biggest Common Factor Method
Now, list down the factors of 1010
:1,2,5,10,101,202,505,1010
Now, list down the factors of 5928
:1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928
Greatest Common Factor
We found the factors 1010,5928 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,5928 is 2.
Lets's calculate LCM of 41,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 28249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28249
Therefore, the GCF of Fractions 1010/41,5928/689 is 2/28249
Least Common Multiple of 41,689 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 41,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,689) x common factors =1 x 1 = 1
LCM(41,689) = ( 41 × 689 ) / 1
LCM(41,689) = 28249 / 1
LCM(41,689) = 28249
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FAQs on GCF of Fractions of 1010/41, 5928/689
1. What is the HCF of 1010,5928?
The HCF of 1010,5928 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 1010/41, 5928/689?
Answer: GCF of Numerators as per given numbers 1010/41, 5928/689 is
GCF of Numerators i.e. for 1010,5928 is 2
LCM of denominators i.e. for 41,689 is 28249.
Thus, GCF of Fractions is 2/28249.Finally, GCF of Fractions for 1010/41, 5928/689 is 2/28249.