GCF of 7118/750, 8470/4125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7118/750, 8470/4125 i.e 2/8250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7118/750, 8470/4125.
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 7118/750,8470/4125?
Given fractions are 7118/750,8470/4125
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 7118/750,8470/4125, numerators are 7118,8470
Denominators are 750,4125
The GCF of 7118,8470 is 2 .
LCM of 750,4125 is 8250.
The greatest common factor of 7118/750,8470/4125 = [GCF of 7118,8470]/[LCM of 750,4125]= 2/8250
Therefore, the GCF of 7118/750,8470/4125 is 2/8250.
To find the highest common factor of 7118,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 7118 are 1, 2, 3559, 7118
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 7118,8470 is 2.
Lets's calculate GCF of 7118,8470
| 2 | 7118, 8470 |
| 3559, 4235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7118,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 7118
:1,2,3559,7118
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 7118,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 7118,8470 is 2.
Lets's calculate LCM of 750,4125
| 3 | 750, 4125 |
| 5 | 250, 1375 |
| 5 | 50, 275 |
| 5 | 10, 55 |
| 2, 11 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 5 x 2 x 11 = 8250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8250
Therefore, the GCF of Fractions 7118/750,8470/4125 is 2/8250
Least Common Multiple of 750,4125 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 750,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,4125) = 375
common factors(in case of two or more numbers have common factors) = 1
GCF(750,4125) x common factors =375 x 1 = 375
LCM(750,4125) = ( 750 × 4125 ) / 375
LCM(750,4125) = 3093750 / 375
LCM(750,4125) = 8250
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FAQs on GCF of Fractions of 7118/750, 8470/4125
1. What is the HCF of 7118,8470?
The HCF of 7118,8470 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 7118/750, 8470/4125?
Answer: GCF of Numerators as per given numbers 7118/750, 8470/4125 is
GCF of Numerators i.e. for 7118,8470 is 2
LCM of denominators i.e. for 750,4125 is 8250.
Thus, GCF of Fractions is 2/8250.Finally, GCF of Fractions for 7118/750, 8470/4125 is 2/8250.