GCF of 7162/527, 7038/2842
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7162/527, 7038/2842 i.e 2/1497734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7162/527, 7038/2842.
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 7162/527,7038/2842?
Given fractions are 7162/527,7038/2842
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 7162/527,7038/2842, numerators are 7162,7038
Denominators are 527,2842
The GCF of 7162,7038 is 2 .
LCM of 527,2842 is 1497734.
The greatest common factor of 7162/527,7038/2842 = [GCF of 7162,7038]/[LCM of 527,2842]= 2/1497734
Therefore, the GCF of 7162/527,7038/2842 is 2/1497734.
To find the highest common factor of 7162,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 7162 are 1, 2, 3581, 7162
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 7162,7038 is 2.
Lets's calculate GCF of 7162,7038
| 2 | 7162, 7038 |
| 3581, 3519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7162,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 7162
:1,2,3581,7162
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 7162,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 7162,7038 is 2.
Lets's calculate LCM of 527,2842
Given numbers has no common factors except 1. So, there LCM is their product i.e 1497734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1497734
Therefore, the GCF of Fractions 7162/527,7038/2842 is 2/1497734
Least Common Multiple of 527,2842 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 527,2842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,2842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,2842) x common factors =1 x 1 = 1
LCM(527,2842) = ( 527 × 2842 ) / 1
LCM(527,2842) = 1497734 / 1
LCM(527,2842) = 1497734
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FAQs on GCF of Fractions of 7162/527, 7038/2842
1. What is the HCF of 7162,7038?
The HCF of 7162,7038 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 7162/527, 7038/2842?
Answer: GCF of Numerators as per given numbers 7162/527, 7038/2842 is
GCF of Numerators i.e. for 7162,7038 is 2
LCM of denominators i.e. for 527,2842 is 1497734.
Thus, GCF of Fractions is 2/1497734.Finally, GCF of Fractions for 7162/527, 7038/2842 is 2/1497734.