GCF of 9040/610, 7860/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9040/610, 7860/269 i.e 20/164090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9040/610, 7860/269.
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 9040/610,7860/269?
Given fractions are 9040/610,7860/269
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 9040/610,7860/269, numerators are 9040,7860
Denominators are 610,269
The GCF of 9040,7860 is 20 .
LCM of 610,269 is 164090.
The greatest common factor of 9040/610,7860/269 = [GCF of 9040,7860]/[LCM of 610,269]= 20/164090
Therefore, the GCF of 9040/610,7860/269 is 20/164090.
To find the highest common factor of 9040,7860, we have to find the factors of both numbers and list the highest common factor.
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The factors of 7860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930, 7860
The HCF of 9040,7860 is 20.
Lets's calculate GCF of 9040,7860
| 2 | 9040, 7860 |
| 2 | 4520, 3930 |
| 5 | 2260, 1965 |
| 452, 393 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9040,7860 By Matching Biggest Common Factor Method
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Now, list down the factors of 7860
:1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860
Greatest Common Factor
We found the factors 9040,7860 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,7860 is 20.
Lets's calculate LCM of 610,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 164090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/164090
Therefore, the GCF of Fractions 9040/610,7860/269 is 20/164090
Least Common Multiple of 610,269 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 610,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,269) x common factors =1 x 1 = 1
LCM(610,269) = ( 610 × 269 ) / 1
LCM(610,269) = 164090 / 1
LCM(610,269) = 164090
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FAQs on GCF of Fractions of 9040/610, 7860/269
1. What is the HCF of 9040,7860?
The HCF of 9040,7860 is 20
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 9040/610, 7860/269?
Answer: GCF of Numerators as per given numbers 9040/610, 7860/269 is
GCF of Numerators i.e. for 9040,7860 is 20
LCM of denominators i.e. for 610,269 is 164090.
Thus, GCF of Fractions is 20/164090.Finally, GCF of Fractions for 9040/610, 7860/269 is 20/164090.