GCF of 6025/914, 8325/7683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6025/914, 8325/7683 i.e 25/7022262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6025/914, 8325/7683.
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 6025/914,8325/7683?
Given fractions are 6025/914,8325/7683
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 6025/914,8325/7683, numerators are 6025,8325
Denominators are 914,7683
The GCF of 6025,8325 is 25 .
LCM of 914,7683 is 7022262.
The greatest common factor of 6025/914,8325/7683 = [GCF of 6025,8325]/[LCM of 914,7683]= 25/7022262
Therefore, the GCF of 6025/914,8325/7683 is 25/7022262.
To find the highest common factor of 6025,8325, we have to find the factors of both numbers and list the highest common factor.
The factors of 6025 are 1, 5, 25, 241, 1205, 6025
The factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325
The HCF of 6025,8325 is 25.
Lets's calculate GCF of 6025,8325
| 5 | 6025, 8325 |
| 5 | 1205, 1665 |
| 241, 333 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 6025,8325 By Matching Biggest Common Factor Method
Now, list down the factors of 6025
:1,5,25,241,1205,6025
Now, list down the factors of 8325
:1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325
Greatest Common Factor
We found the factors 6025,8325 . The biggest common factor number is the GCF number.
So the greatest common factor 6025,8325 is 25.
Lets's calculate LCM of 914,7683
Given numbers has no common factors except 1. So, there LCM is their product i.e 7022262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/7022262
Therefore, the GCF of Fractions 6025/914,8325/7683 is 25/7022262
Least Common Multiple of 914,7683 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 914,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,7683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,7683) x common factors =1 x 1 = 1
LCM(914,7683) = ( 914 × 7683 ) / 1
LCM(914,7683) = 7022262 / 1
LCM(914,7683) = 7022262
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FAQs on GCF of Fractions of 6025/914, 8325/7683
1. What is the HCF of 6025,8325?
The HCF of 6025,8325 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 6025/914, 8325/7683?
Answer: GCF of Numerators as per given numbers 6025/914, 8325/7683 is
GCF of Numerators i.e. for 6025,8325 is 25
LCM of denominators i.e. for 914,7683 is 7022262.
Thus, GCF of Fractions is 25/7022262.Finally, GCF of Fractions for 6025/914, 8325/7683 is 25/7022262.