GCF of 7825/775, 6109/7781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7825/775, 6109/7781 i.e 1/194525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7825/775, 6109/7781.
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 7825/775,6109/7781?
Given fractions are 7825/775,6109/7781
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 7825/775,6109/7781, numerators are 7825,6109
Denominators are 775,7781
The GCF of 7825,6109 is 1 .
LCM of 775,7781 is 194525.
The greatest common factor of 7825/775,6109/7781 = [GCF of 7825,6109]/[LCM of 775,7781]= 1/194525
Therefore, the GCF of 7825/775,6109/7781 is 1/194525.
To find the highest common factor of 7825,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 7825 are 1, 5, 25, 313, 1565, 7825
The factors of 6109 are 1, 41, 149, 6109
The HCF of 7825,6109 is 1.
Lets's calculate GCF of 7825,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7825,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 7825
:1,5,25,313,1565,7825
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 7825,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 7825,6109 is 1.
Lets's calculate LCM of 775,7781
| 31 | 775, 7781 |
| 25, 251 |
∴ So the LCM of the given numbers is 31 x 25 x 251 = 194525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194525
Therefore, the GCF of Fractions 7825/775,6109/7781 is 1/194525
Least Common Multiple of 775,7781 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 775,7781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,7781) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(775,7781) x common factors =31 x 1 = 31
LCM(775,7781) = ( 775 × 7781 ) / 31
LCM(775,7781) = 6030275 / 31
LCM(775,7781) = 194525
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FAQs on GCF of Fractions of 7825/775, 6109/7781
1. What is the HCF of 7825,6109?
The HCF of 7825,6109 is 1
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 7825/775, 6109/7781?
Answer: GCF of Numerators as per given numbers 7825/775, 6109/7781 is
GCF of Numerators i.e. for 7825,6109 is 1
LCM of denominators i.e. for 775,7781 is 194525.
Thus, GCF of Fractions is 1/194525.Finally, GCF of Fractions for 7825/775, 6109/7781 is 1/194525.