GCF of 7760/770, 5744/3835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7760/770, 5744/3835 i.e 16/590590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7760/770, 5744/3835.
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 7760/770,5744/3835?
Given fractions are 7760/770,5744/3835
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 7760/770,5744/3835, numerators are 7760,5744
Denominators are 770,3835
The GCF of 7760,5744 is 16 .
LCM of 770,3835 is 590590.
The greatest common factor of 7760/770,5744/3835 = [GCF of 7760,5744]/[LCM of 770,3835]= 16/590590
Therefore, the GCF of 7760/770,5744/3835 is 16/590590.
To find the highest common factor of 7760,5744, 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 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744
The HCF of 7760,5744 is 16.
Lets's calculate GCF of 7760,5744
| 2 | 7760, 5744 |
| 2 | 3880, 2872 |
| 2 | 1940, 1436 |
| 2 | 970, 718 |
| 485, 359 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7760,5744 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 5744
:1,2,4,8,16,359,718,1436,2872,5744
Greatest Common Factor
We found the factors 7760,5744 . The biggest common factor number is the GCF number.
So the greatest common factor 7760,5744 is 16.
Lets's calculate LCM of 770,3835
| 5 | 770, 3835 |
| 154, 767 |
∴ So the LCM of the given numbers is 5 x 154 x 767 = 590590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/590590
Therefore, the GCF of Fractions 7760/770,5744/3835 is 16/590590
Least Common Multiple of 770,3835 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 770,3835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,3835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(770,3835) x common factors =5 x 1 = 5
LCM(770,3835) = ( 770 × 3835 ) / 5
LCM(770,3835) = 2952950 / 5
LCM(770,3835) = 590590
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FAQs on GCF of Fractions of 7760/770, 5744/3835
1. What is the HCF of 7760,5744?
The HCF of 7760,5744 is 16
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 7760/770, 5744/3835?
Answer: GCF of Numerators as per given numbers 7760/770, 5744/3835 is
GCF of Numerators i.e. for 7760,5744 is 16
LCM of denominators i.e. for 770,3835 is 590590.
Thus, GCF of Fractions is 16/590590.Finally, GCF of Fractions for 7760/770, 5744/3835 is 16/590590.