GCF of 6727/678, 7862/9228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6727/678, 7862/9228 i.e 1/1042764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6727/678, 7862/9228.
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 6727/678,7862/9228?
Given fractions are 6727/678,7862/9228
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 6727/678,7862/9228, numerators are 6727,7862
Denominators are 678,9228
The GCF of 6727,7862 is 1 .
LCM of 678,9228 is 1042764.
The greatest common factor of 6727/678,7862/9228 = [GCF of 6727,7862]/[LCM of 678,9228]= 1/1042764
Therefore, the GCF of 6727/678,7862/9228 is 1/1042764.
To find the highest common factor of 6727,7862, we have to find the factors of both numbers and list the highest common factor.
The factors of 6727 are 1, 7, 31, 217, 961, 6727
The factors of 7862 are 1, 2, 3931, 7862
The HCF of 6727,7862 is 1.
Lets's calculate GCF of 6727,7862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6727,7862 By Matching Biggest Common Factor Method
Now, list down the factors of 6727
:1,7,31,217,961,6727
Now, list down the factors of 7862
:1,2,3931,7862
Greatest Common Factor
We found the factors 6727,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 6727,7862 is 1.
Lets's calculate LCM of 678,9228
| 2 | 678, 9228 |
| 3 | 339, 4614 |
| 113, 1538 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 1538 = 1042764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1042764
Therefore, the GCF of Fractions 6727/678,7862/9228 is 1/1042764
Least Common Multiple of 678,9228 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 678,9228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,9228) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(678,9228) x common factors =6 x 1 = 6
LCM(678,9228) = ( 678 × 9228 ) / 6
LCM(678,9228) = 6256584 / 6
LCM(678,9228) = 1042764
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FAQs on GCF of Fractions of 6727/678, 7862/9228
1. What is the HCF of 6727,7862?
The HCF of 6727,7862 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 6727/678, 7862/9228?
Answer: GCF of Numerators as per given numbers 6727/678, 7862/9228 is
GCF of Numerators i.e. for 6727,7862 is 1
LCM of denominators i.e. for 678,9228 is 1042764.
Thus, GCF of Fractions is 1/1042764.Finally, GCF of Fractions for 6727/678, 7862/9228 is 1/1042764.