Use our free GCF of Fractions Calculator tool to compute the GCF of 8120/883, 1270/7671 i.e 10/6773493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8120/883, 1270/7671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8120/883,1270/7671
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 8120/883,1270/7671, numerators are 8120,1270
Denominators are 883,7671
The GCF of 8120,1270 is 10 .
LCM of 883,7671 is 6773493.
The greatest common factor of 8120/883,1270/7671 = [GCF of 8120,1270]/[LCM of 883,7671]= 10/6773493
Therefore, the GCF of 8120/883,1270/7671 is 10/6773493.
To find the highest common factor of 8120,1270, we have to find the factors of both numbers and list the highest common factor.
The factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120
The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270
The HCF of 8120,1270 is 10.
Lets's calculate GCF of 8120,1270
2 | 8120, 1270 |
5 | 4060, 635 |
812, 127 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 8120
:1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120
Now, list down the factors of 1270
:1,2,5,10,127,254,635,1270
Greatest Common Factor
We found the factors 8120,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 8120,1270 is 10.
Lets's calculate LCM of 883,7671
Given numbers has no common factors except 1. So, there LCM is their product i.e 6773493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6773493
Therefore, the GCF of Fractions 8120/883,1270/7671 is 10/6773493
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 883,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,7671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,7671) x common factors =1 x 1 = 1
LCM(883,7671) = ( 883 × 7671 ) / 1
LCM(883,7671) = 6773493 / 1
LCM(883,7671) = 6773493
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8120,1270?
The HCF of 8120,1270 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 8120/883, 1270/7671?
Answer: GCF of Numerators as per given numbers 8120/883, 1270/7671 is
GCF of Numerators i.e. for 8120,1270 is 10
LCM of denominators i.e. for 883,7671 is 6773493.
Thus, GCF of Fractions is 10/6773493.Finally, GCF of Fractions for 8120/883, 1270/7671 is 10/6773493.