GCF of 6140/817, 2610/953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6140/817, 2610/953 i.e 10/778601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6140/817, 2610/953.
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 6140/817,2610/953?
Given fractions are 6140/817,2610/953
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 6140/817,2610/953, numerators are 6140,2610
Denominators are 817,953
The GCF of 6140,2610 is 10 .
LCM of 817,953 is 778601.
The greatest common factor of 6140/817,2610/953 = [GCF of 6140,2610]/[LCM of 817,953]= 10/778601
Therefore, the GCF of 6140/817,2610/953 is 10/778601.
To find the highest common factor of 6140,2610, we have to find the factors of both numbers and list the highest common factor.
The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140
The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610
The HCF of 6140,2610 is 10.
Lets's calculate GCF of 6140,2610
| 2 | 6140, 2610 |
| 5 | 3070, 1305 |
| 614, 261 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6140,2610 By Matching Biggest Common Factor Method
Now, list down the factors of 6140
:1,2,4,5,10,20,307,614,1228,1535,3070,6140
Now, list down the factors of 2610
:1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Greatest Common Factor
We found the factors 6140,2610 . The biggest common factor number is the GCF number.
So the greatest common factor 6140,2610 is 10.
Lets's calculate LCM of 817,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 778601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/778601
Therefore, the GCF of Fractions 6140/817,2610/953 is 10/778601
Least Common Multiple of 817,953 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 817,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,953) x common factors =1 x 1 = 1
LCM(817,953) = ( 817 × 953 ) / 1
LCM(817,953) = 778601 / 1
LCM(817,953) = 778601
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FAQs on GCF of Fractions of 6140/817, 2610/953
1. What is the HCF of 6140,2610?
The HCF of 6140,2610 is 10
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 6140/817, 2610/953?
Answer: GCF of Numerators as per given numbers 6140/817, 2610/953 is
GCF of Numerators i.e. for 6140,2610 is 10
LCM of denominators i.e. for 817,953 is 778601.
Thus, GCF of Fractions is 10/778601.Finally, GCF of Fractions for 6140/817, 2610/953 is 10/778601.