GCF of 6907/226, 2127/7232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6907/226, 2127/7232 i.e 1/7232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6907/226, 2127/7232.
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 6907/226,2127/7232?
Given fractions are 6907/226,2127/7232
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 6907/226,2127/7232, numerators are 6907,2127
Denominators are 226,7232
The GCF of 6907,2127 is 1 .
LCM of 226,7232 is 7232.
The greatest common factor of 6907/226,2127/7232 = [GCF of 6907,2127]/[LCM of 226,7232]= 1/7232
Therefore, the GCF of 6907/226,2127/7232 is 1/7232.
To find the highest common factor of 6907,2127, we have to find the factors of both numbers and list the highest common factor.
The factors of 6907 are 1, 6907
The factors of 2127 are 1, 3, 709, 2127
The HCF of 6907,2127 is 1.
Lets's calculate GCF of 6907,2127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6907,2127 By Matching Biggest Common Factor Method
Now, list down the factors of 6907
:1,6907
Now, list down the factors of 2127
:1,3,709,2127
Greatest Common Factor
We found the factors 6907,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 6907,2127 is 1.
Lets's calculate LCM of 226,7232
| 2 | 226, 7232 |
| 113 | 113, 3616 |
| 1, 32 |
∴ So the LCM of the given numbers is 2 x 113 x 1 x 32 = 7232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7232
Therefore, the GCF of Fractions 6907/226,2127/7232 is 1/7232
Least Common Multiple of 226,7232 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 226,7232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,7232) = 226
common factors(in case of two or more numbers have common factors) = 1
GCF(226,7232) x common factors =226 x 1 = 226
LCM(226,7232) = ( 226 × 7232 ) / 226
LCM(226,7232) = 1634432 / 226
LCM(226,7232) = 7232
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FAQs on GCF of Fractions of 6907/226, 2127/7232
1. What is the HCF of 6907,2127?
The HCF of 6907,2127 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 6907/226, 2127/7232?
Answer: GCF of Numerators as per given numbers 6907/226, 2127/7232 is
GCF of Numerators i.e. for 6907,2127 is 1
LCM of denominators i.e. for 226,7232 is 7232.
Thus, GCF of Fractions is 1/7232.Finally, GCF of Fractions for 6907/226, 2127/7232 is 1/7232.