GCF of 7254/939, 7707/5450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7254/939, 7707/5450 i.e 3/5117550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7254/939, 7707/5450.
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 7254/939,7707/5450?
Given fractions are 7254/939,7707/5450
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 7254/939,7707/5450, numerators are 7254,7707
Denominators are 939,5450
The GCF of 7254,7707 is 3 .
LCM of 939,5450 is 5117550.
The greatest common factor of 7254/939,7707/5450 = [GCF of 7254,7707]/[LCM of 939,5450]= 3/5117550
Therefore, the GCF of 7254/939,7707/5450 is 3/5117550.
To find the highest common factor of 7254,7707, we have to find the factors of both numbers and list the highest common factor.
The factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The HCF of 7254,7707 is 3.
Lets's calculate GCF of 7254,7707
| 3 | 7254, 7707 |
| 2418, 2569 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7254,7707 By Matching Biggest Common Factor Method
Now, list down the factors of 7254
:1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Greatest Common Factor
We found the factors 7254,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 7254,7707 is 3.
Lets's calculate LCM of 939,5450
Given numbers has no common factors except 1. So, there LCM is their product i.e 5117550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5117550
Therefore, the GCF of Fractions 7254/939,7707/5450 is 3/5117550
Least Common Multiple of 939,5450 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 939,5450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,5450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,5450) x common factors =1 x 1 = 1
LCM(939,5450) = ( 939 × 5450 ) / 1
LCM(939,5450) = 5117550 / 1
LCM(939,5450) = 5117550
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FAQs on GCF of Fractions of 7254/939, 7707/5450
1. What is the HCF of 7254,7707?
The HCF of 7254,7707 is 3
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 7254/939, 7707/5450?
Answer: GCF of Numerators as per given numbers 7254/939, 7707/5450 is
GCF of Numerators i.e. for 7254,7707 is 3
LCM of denominators i.e. for 939,5450 is 5117550.
Thus, GCF of Fractions is 3/5117550.Finally, GCF of Fractions for 7254/939, 7707/5450 is 3/5117550.