GCF of 8550/762, 8172/1104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8550/762, 8172/1104 i.e 18/140208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8550/762, 8172/1104.
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 8550/762,8172/1104?
Given fractions are 8550/762,8172/1104
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 8550/762,8172/1104, numerators are 8550,8172
Denominators are 762,1104
The GCF of 8550,8172 is 18 .
LCM of 762,1104 is 140208.
The greatest common factor of 8550/762,8172/1104 = [GCF of 8550,8172]/[LCM of 762,1104]= 18/140208
Therefore, the GCF of 8550/762,8172/1104 is 18/140208.
To find the highest common factor of 8550,8172, we have to find the factors of both numbers and list the highest common factor.
The factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550
The factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
The HCF of 8550,8172 is 18.
Lets's calculate GCF of 8550,8172
| 2 | 8550, 8172 |
| 3 | 4275, 4086 |
| 3 | 1425, 1362 |
| 475, 454 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8550,8172 By Matching Biggest Common Factor Method
Now, list down the factors of 8550
:1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550
Now, list down the factors of 8172
:1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 8550,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 8550,8172 is 18.
Lets's calculate LCM of 762,1104
| 2 | 762, 1104 |
| 3 | 381, 552 |
| 127, 184 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 184 = 140208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/140208
Therefore, the GCF of Fractions 8550/762,8172/1104 is 18/140208
Least Common Multiple of 762,1104 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 762,1104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,1104) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,1104) x common factors =6 x 1 = 6
LCM(762,1104) = ( 762 × 1104 ) / 6
LCM(762,1104) = 841248 / 6
LCM(762,1104) = 140208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8550/762, 8172/1104
1. What is the HCF of 8550,8172?
The HCF of 8550,8172 is 18
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 8550/762, 8172/1104?
Answer: GCF of Numerators as per given numbers 8550/762, 8172/1104 is
GCF of Numerators i.e. for 8550,8172 is 18
LCM of denominators i.e. for 762,1104 is 140208.
Thus, GCF of Fractions is 18/140208.Finally, GCF of Fractions for 8550/762, 8172/1104 is 18/140208.