GCF of 7734/114, 2253/7475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7734/114, 2253/7475 i.e 3/852150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7734/114, 2253/7475.
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 7734/114,2253/7475?
Given fractions are 7734/114,2253/7475
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 7734/114,2253/7475, numerators are 7734,2253
Denominators are 114,7475
The GCF of 7734,2253 is 3 .
LCM of 114,7475 is 852150.
The greatest common factor of 7734/114,2253/7475 = [GCF of 7734,2253]/[LCM of 114,7475]= 3/852150
Therefore, the GCF of 7734/114,2253/7475 is 3/852150.
To find the highest common factor of 7734,2253, we have to find the factors of both numbers and list the highest common factor.
The factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734
The factors of 2253 are 1, 3, 751, 2253
The HCF of 7734,2253 is 3.
Lets's calculate GCF of 7734,2253
| 3 | 7734, 2253 |
| 2578, 751 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7734,2253 By Matching Biggest Common Factor Method
Now, list down the factors of 7734
:1,2,3,6,1289,2578,3867,7734
Now, list down the factors of 2253
:1,3,751,2253
Greatest Common Factor
We found the factors 7734,2253 . The biggest common factor number is the GCF number.
So the greatest common factor 7734,2253 is 3.
Lets's calculate LCM of 114,7475
Given numbers has no common factors except 1. So, there LCM is their product i.e 852150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/852150
Therefore, the GCF of Fractions 7734/114,2253/7475 is 3/852150
Least Common Multiple of 114,7475 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 114,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,7475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,7475) x common factors =1 x 1 = 1
LCM(114,7475) = ( 114 × 7475 ) / 1
LCM(114,7475) = 852150 / 1
LCM(114,7475) = 852150
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FAQs on GCF of Fractions of 7734/114, 2253/7475
1. What is the HCF of 7734,2253?
The HCF of 7734,2253 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 7734/114, 2253/7475?
Answer: GCF of Numerators as per given numbers 7734/114, 2253/7475 is
GCF of Numerators i.e. for 7734,2253 is 3
LCM of denominators i.e. for 114,7475 is 852150.
Thus, GCF of Fractions is 3/852150.Finally, GCF of Fractions for 7734/114, 2253/7475 is 3/852150.