GCF of 525/569, 6510/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 525/569, 6510/907 i.e 105/516083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/569, 6510/907.
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 525/569,6510/907?
Given fractions are 525/569,6510/907
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 525/569,6510/907, numerators are 525,6510
Denominators are 569,907
The GCF of 525,6510 is 105 .
LCM of 569,907 is 516083.
The greatest common factor of 525/569,6510/907 = [GCF of 525,6510]/[LCM of 569,907]= 105/516083
Therefore, the GCF of 525/569,6510/907 is 105/516083.
To find the highest common factor of 525,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 525,6510 is 105.
Lets's calculate GCF of 525,6510
| 3 | 525, 6510 |
| 5 | 175, 2170 |
| 7 | 35, 434 |
| 5, 62 |
∴ So the GCF of the given numbers is 3 x 5 x 7 = 105
Greatest Common Factor of 525,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 525,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 525,6510 is 105.
Lets's calculate LCM of 569,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 516083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/516083
Therefore, the GCF of Fractions 525/569,6510/907 is 105/516083
Least Common Multiple of 569,907 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 569,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,907) x common factors =1 x 1 = 1
LCM(569,907) = ( 569 × 907 ) / 1
LCM(569,907) = 516083 / 1
LCM(569,907) = 516083
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 525/569, 6510/907
1. What is the HCF of 525,6510?
The HCF of 525,6510 is 105
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 525/569, 6510/907?
Answer: GCF of Numerators as per given numbers 525/569, 6510/907 is
GCF of Numerators i.e. for 525,6510 is 105
LCM of denominators i.e. for 569,907 is 516083.
Thus, GCF of Fractions is 105/516083.Finally, GCF of Fractions for 525/569, 6510/907 is 105/516083.