GCF of 925/690, 6075/9705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 925/690, 6075/9705 i.e 25/446430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/690, 6075/9705.
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 925/690,6075/9705?
Given fractions are 925/690,6075/9705
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 925/690,6075/9705, numerators are 925,6075
Denominators are 690,9705
The GCF of 925,6075 is 25 .
LCM of 690,9705 is 446430.
The greatest common factor of 925/690,6075/9705 = [GCF of 925,6075]/[LCM of 690,9705]= 25/446430
Therefore, the GCF of 925/690,6075/9705 is 25/446430.
To find the highest common factor of 925,6075, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
The HCF of 925,6075 is 25.
Lets's calculate GCF of 925,6075
| 5 | 925, 6075 |
| 5 | 185, 1215 |
| 37, 243 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 925,6075 By Matching Biggest Common Factor Method
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 6075
:1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075
Greatest Common Factor
We found the factors 925,6075 . The biggest common factor number is the GCF number.
So the greatest common factor 925,6075 is 25.
Lets's calculate LCM of 690,9705
| 3 | 690, 9705 |
| 5 | 230, 3235 |
| 46, 647 |
∴ So the LCM of the given numbers is 3 x 5 x 46 x 647 = 446430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/446430
Therefore, the GCF of Fractions 925/690,6075/9705 is 25/446430
Least Common Multiple of 690,9705 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 690,9705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,9705) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(690,9705) x common factors =15 x 1 = 15
LCM(690,9705) = ( 690 × 9705 ) / 15
LCM(690,9705) = 6696450 / 15
LCM(690,9705) = 446430
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FAQs on GCF of Fractions of 925/690, 6075/9705
1. What is the HCF of 925,6075?
The HCF of 925,6075 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 925/690, 6075/9705?
Answer: GCF of Numerators as per given numbers 925/690, 6075/9705 is
GCF of Numerators i.e. for 925,6075 is 25
LCM of denominators i.e. for 690,9705 is 446430.
Thus, GCF of Fractions is 25/446430.Finally, GCF of Fractions for 925/690, 6075/9705 is 25/446430.