GCF of 7497/699, 6727/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7497/699, 6727/228 i.e 7/53124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7497/699, 6727/228.
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 7497/699,6727/228?
Given fractions are 7497/699,6727/228
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 7497/699,6727/228, numerators are 7497,6727
Denominators are 699,228
The GCF of 7497,6727 is 7 .
LCM of 699,228 is 53124.
The greatest common factor of 7497/699,6727/228 = [GCF of 7497,6727]/[LCM of 699,228]= 7/53124
Therefore, the GCF of 7497/699,6727/228 is 7/53124.
To find the highest common factor of 7497,6727, we have to find the factors of both numbers and list the highest common factor.
The factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497
The factors of 6727 are 1, 7, 31, 217, 961, 6727
The HCF of 7497,6727 is 7.
Lets's calculate GCF of 7497,6727
| 7 | 7497, 6727 |
| 1071, 961 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7497,6727 By Matching Biggest Common Factor Method
Now, list down the factors of 7497
:1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497
Now, list down the factors of 6727
:1,7,31,217,961,6727
Greatest Common Factor
We found the factors 7497,6727 . The biggest common factor number is the GCF number.
So the greatest common factor 7497,6727 is 7.
Lets's calculate LCM of 699,228
| 3 | 699, 228 |
| 233, 76 |
∴ So the LCM of the given numbers is 3 x 233 x 76 = 53124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/53124
Therefore, the GCF of Fractions 7497/699,6727/228 is 7/53124
Least Common Multiple of 699,228 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 699,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,228) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,228) x common factors =3 x 1 = 3
LCM(699,228) = ( 699 × 228 ) / 3
LCM(699,228) = 159372 / 3
LCM(699,228) = 53124
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FAQs on GCF of Fractions of 7497/699, 6727/228
1. What is the HCF of 7497,6727?
The HCF of 7497,6727 is 7
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 7497/699, 6727/228?
Answer: GCF of Numerators as per given numbers 7497/699, 6727/228 is
GCF of Numerators i.e. for 7497,6727 is 7
LCM of denominators i.e. for 699,228 is 53124.
Thus, GCF of Fractions is 7/53124.Finally, GCF of Fractions for 7497/699, 6727/228 is 7/53124.