GCF of 7300/708, 8550/8522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7300/708, 8550/8522 i.e 50/3016788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7300/708, 8550/8522.
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 7300/708,8550/8522?
Given fractions are 7300/708,8550/8522
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 7300/708,8550/8522, numerators are 7300,8550
Denominators are 708,8522
The GCF of 7300,8550 is 50 .
LCM of 708,8522 is 3016788.
The greatest common factor of 7300/708,8550/8522 = [GCF of 7300,8550]/[LCM of 708,8522]= 50/3016788
Therefore, the GCF of 7300/708,8550/8522 is 50/3016788.
To find the highest common factor of 7300,8550, we have to find the factors of both numbers and list the highest common factor.
The factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300
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 HCF of 7300,8550 is 50.
Lets's calculate GCF of 7300,8550
| 2 | 7300, 8550 |
| 5 | 3650, 4275 |
| 5 | 730, 855 |
| 146, 171 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 7300,8550 By Matching Biggest Common Factor Method
Now, list down the factors of 7300
:1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300
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
Greatest Common Factor
We found the factors 7300,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 7300,8550 is 50.
Lets's calculate LCM of 708,8522
| 2 | 708, 8522 |
| 354, 4261 |
∴ So the LCM of the given numbers is 2 x 354 x 4261 = 3016788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/3016788
Therefore, the GCF of Fractions 7300/708,8550/8522 is 50/3016788
Least Common Multiple of 708,8522 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 708,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,8522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,8522) x common factors =2 x 1 = 2
LCM(708,8522) = ( 708 × 8522 ) / 2
LCM(708,8522) = 6033576 / 2
LCM(708,8522) = 3016788
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7300/708, 8550/8522
1. What is the HCF of 7300,8550?
The HCF of 7300,8550 is 50
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 7300/708, 8550/8522?
Answer: GCF of Numerators as per given numbers 7300/708, 8550/8522 is
GCF of Numerators i.e. for 7300,8550 is 50
LCM of denominators i.e. for 708,8522 is 3016788.
Thus, GCF of Fractions is 50/3016788.Finally, GCF of Fractions for 7300/708, 8550/8522 is 50/3016788.