GCF of 6550/697, 8475/7230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6550/697, 8475/7230 i.e 25/5039310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6550/697, 8475/7230.
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 6550/697,8475/7230?
Given fractions are 6550/697,8475/7230
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 6550/697,8475/7230, numerators are 6550,8475
Denominators are 697,7230
The GCF of 6550,8475 is 25 .
LCM of 697,7230 is 5039310.
The greatest common factor of 6550/697,8475/7230 = [GCF of 6550,8475]/[LCM of 697,7230]= 25/5039310
Therefore, the GCF of 6550/697,8475/7230 is 25/5039310.
To find the highest common factor of 6550,8475, we have to find the factors of both numbers and list the highest common factor.
The factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550
The factors of 8475 are 1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, 8475
The HCF of 6550,8475 is 25.
Lets's calculate GCF of 6550,8475
| 5 | 6550, 8475 |
| 5 | 1310, 1695 |
| 262, 339 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6550,8475 By Matching Biggest Common Factor Method
Now, list down the factors of 6550
:1,2,5,10,25,50,131,262,655,1310,3275,6550
Now, list down the factors of 8475
:1,3,5,15,25,75,113,339,565,1695,2825,8475
Greatest Common Factor
We found the factors 6550,8475 . The biggest common factor number is the GCF number.
So the greatest common factor 6550,8475 is 25.
Lets's calculate LCM of 697,7230
Given numbers has no common factors except 1. So, there LCM is their product i.e 5039310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/5039310
Therefore, the GCF of Fractions 6550/697,8475/7230 is 25/5039310
Least Common Multiple of 697,7230 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 697,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,7230) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,7230) x common factors =1 x 1 = 1
LCM(697,7230) = ( 697 × 7230 ) / 1
LCM(697,7230) = 5039310 / 1
LCM(697,7230) = 5039310
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FAQs on GCF of Fractions of 6550/697, 8475/7230
1. What is the HCF of 6550,8475?
The HCF of 6550,8475 is 25
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 6550/697, 8475/7230?
Answer: GCF of Numerators as per given numbers 6550/697, 8475/7230 is
GCF of Numerators i.e. for 6550,8475 is 25
LCM of denominators i.e. for 697,7230 is 5039310.
Thus, GCF of Fractions is 25/5039310.Finally, GCF of Fractions for 6550/697, 8475/7230 is 25/5039310.