GCF of 7760/581, 1840/1011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7760/581, 1840/1011 i.e 80/587391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7760/581, 1840/1011.
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 7760/581,1840/1011?
Given fractions are 7760/581,1840/1011
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 7760/581,1840/1011, numerators are 7760,1840
Denominators are 581,1011
The GCF of 7760,1840 is 80 .
LCM of 581,1011 is 587391.
The greatest common factor of 7760/581,1840/1011 = [GCF of 7760,1840]/[LCM of 581,1011]= 80/587391
Therefore, the GCF of 7760/581,1840/1011 is 80/587391.
To find the highest common factor of 7760,1840, we have to find the factors of both numbers and list the highest common factor.
The factors of 7760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The HCF of 7760,1840 is 80.
Lets's calculate GCF of 7760,1840
| 2 | 7760, 1840 |
| 2 | 3880, 920 |
| 2 | 1940, 460 |
| 2 | 970, 230 |
| 5 | 485, 115 |
| 97, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Greatest Common Factor of 7760,1840 By Matching Biggest Common Factor Method
Now, list down the factors of 7760
:1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors 7760,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 7760,1840 is 80.
Lets's calculate LCM of 581,1011
Given numbers has no common factors except 1. So, there LCM is their product i.e 587391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/587391
Therefore, the GCF of Fractions 7760/581,1840/1011 is 80/587391
Least Common Multiple of 581,1011 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 581,1011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,1011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,1011) x common factors =1 x 1 = 1
LCM(581,1011) = ( 581 × 1011 ) / 1
LCM(581,1011) = 587391 / 1
LCM(581,1011) = 587391
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FAQs on GCF of Fractions of 7760/581, 1840/1011
1. What is the HCF of 7760,1840?
The HCF of 7760,1840 is 80
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 7760/581, 1840/1011?
Answer: GCF of Numerators as per given numbers 7760/581, 1840/1011 is
GCF of Numerators i.e. for 7760,1840 is 80
LCM of denominators i.e. for 581,1011 is 587391.
Thus, GCF of Fractions is 80/587391.Finally, GCF of Fractions for 7760/581, 1840/1011 is 80/587391.