GCF of 7700/159, 3810/9709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7700/159, 3810/9709 i.e 10/1543731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7700/159, 3810/9709.
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 7700/159,3810/9709?
Given fractions are 7700/159,3810/9709
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 7700/159,3810/9709, numerators are 7700,3810
Denominators are 159,9709
The GCF of 7700,3810 is 10 .
LCM of 159,9709 is 1543731.
The greatest common factor of 7700/159,3810/9709 = [GCF of 7700,3810]/[LCM of 159,9709]= 10/1543731
Therefore, the GCF of 7700/159,3810/9709 is 10/1543731.
To find the highest common factor of 7700,3810, 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 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 7700,3810 is 10.
Lets's calculate GCF of 7700,3810
| 2 | 7700, 3810 |
| 5 | 3850, 1905 |
| 770, 381 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7700,3810 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 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 7700,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 7700,3810 is 10.
Lets's calculate LCM of 159,9709
Given numbers has no common factors except 1. So, there LCM is their product i.e 1543731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1543731
Therefore, the GCF of Fractions 7700/159,3810/9709 is 10/1543731
Least Common Multiple of 159,9709 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 159,9709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9709) x common factors =1 x 1 = 1
LCM(159,9709) = ( 159 × 9709 ) / 1
LCM(159,9709) = 1543731 / 1
LCM(159,9709) = 1543731
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FAQs on GCF of Fractions of 7700/159, 3810/9709
1. What is the HCF of 7700,3810?
The HCF of 7700,3810 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 7700/159, 3810/9709?
Answer: GCF of Numerators as per given numbers 7700/159, 3810/9709 is
GCF of Numerators i.e. for 7700,3810 is 10
LCM of denominators i.e. for 159,9709 is 1543731.
Thus, GCF of Fractions is 10/1543731.Finally, GCF of Fractions for 7700/159, 3810/9709 is 10/1543731.