GCF of 7690/111, 1310/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7690/111, 1310/767 i.e 10/85137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7690/111, 1310/767.
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 7690/111,1310/767?
Given fractions are 7690/111,1310/767
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 7690/111,1310/767, numerators are 7690,1310
Denominators are 111,767
The GCF of 7690,1310 is 10 .
LCM of 111,767 is 85137.
The greatest common factor of 7690/111,1310/767 = [GCF of 7690,1310]/[LCM of 111,767]= 10/85137
Therefore, the GCF of 7690/111,1310/767 is 10/85137.
To find the highest common factor of 7690,1310, we have to find the factors of both numbers and list the highest common factor.
The factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690
The factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310
The HCF of 7690,1310 is 10.
Lets's calculate GCF of 7690,1310
| 2 | 7690, 1310 |
| 5 | 3845, 655 |
| 769, 131 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7690,1310 By Matching Biggest Common Factor Method
Now, list down the factors of 7690
:1,2,5,10,769,1538,3845,7690
Now, list down the factors of 1310
:1,2,5,10,131,262,655,1310
Greatest Common Factor
We found the factors 7690,1310 . The biggest common factor number is the GCF number.
So the greatest common factor 7690,1310 is 10.
Lets's calculate LCM of 111,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 85137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/85137
Therefore, the GCF of Fractions 7690/111,1310/767 is 10/85137
Least Common Multiple of 111,767 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 111,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,767) x common factors =1 x 1 = 1
LCM(111,767) = ( 111 × 767 ) / 1
LCM(111,767) = 85137 / 1
LCM(111,767) = 85137
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FAQs on GCF of Fractions of 7690/111, 1310/767
1. What is the HCF of 7690,1310?
The HCF of 7690,1310 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 7690/111, 1310/767?
Answer: GCF of Numerators as per given numbers 7690/111, 1310/767 is
GCF of Numerators i.e. for 7690,1310 is 10
LCM of denominators i.e. for 111,767 is 85137.
Thus, GCF of Fractions is 10/85137.Finally, GCF of Fractions for 7690/111, 1310/767 is 10/85137.