GCF of 7700/103, 7366/1504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7700/103, 7366/1504 i.e 2/154912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7700/103, 7366/1504.
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 7700/103,7366/1504?
Given fractions are 7700/103,7366/1504
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 7700/103,7366/1504, numerators are 7700,7366
Denominators are 103,1504
The GCF of 7700,7366 is 2 .
LCM of 103,1504 is 154912.
The greatest common factor of 7700/103,7366/1504 = [GCF of 7700,7366]/[LCM of 103,1504]= 2/154912
Therefore, the GCF of 7700/103,7366/1504 is 2/154912.
To find the highest common factor of 7700,7366, we have to find the factors of both numbers and list the highest common factor.
The factors of 7700 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700
The factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366
The HCF of 7700,7366 is 2.
Lets's calculate GCF of 7700,7366
| 2 | 7700, 7366 |
| 3850, 3683 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7700,7366 By Matching Biggest Common Factor Method
Now, list down the factors of 7700
:1,2,4,5,7,10,11,14,20,22,25,28,35,44,50,55,70,77,100,110,140,154,175,220,275,308,350,385,550,700,770,1100,1540,1925,3850,7700
Now, list down the factors of 7366
:1,2,29,58,127,254,3683,7366
Greatest Common Factor
We found the factors 7700,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 7700,7366 is 2.
Lets's calculate LCM of 103,1504
Given numbers has no common factors except 1. So, there LCM is their product i.e 154912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/154912
Therefore, the GCF of Fractions 7700/103,7366/1504 is 2/154912
Least Common Multiple of 103,1504 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 103,1504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,1504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,1504) x common factors =1 x 1 = 1
LCM(103,1504) = ( 103 × 1504 ) / 1
LCM(103,1504) = 154912 / 1
LCM(103,1504) = 154912
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FAQs on GCF of Fractions of 7700/103, 7366/1504
1. What is the HCF of 7700,7366?
The HCF of 7700,7366 is 2
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 7700/103, 7366/1504?
Answer: GCF of Numerators as per given numbers 7700/103, 7366/1504 is
GCF of Numerators i.e. for 7700,7366 is 2
LCM of denominators i.e. for 103,1504 is 154912.
Thus, GCF of Fractions is 2/154912.Finally, GCF of Fractions for 7700/103, 7366/1504 is 2/154912.