GCF of 7622/877, 6556/9827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7622/877, 6556/9827 i.e 2/8618279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7622/877, 6556/9827.
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 7622/877,6556/9827?
Given fractions are 7622/877,6556/9827
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 7622/877,6556/9827, numerators are 7622,6556
Denominators are 877,9827
The GCF of 7622,6556 is 2 .
LCM of 877,9827 is 8618279.
The greatest common factor of 7622/877,6556/9827 = [GCF of 7622,6556]/[LCM of 877,9827]= 2/8618279
Therefore, the GCF of 7622/877,6556/9827 is 2/8618279.
To find the highest common factor of 7622,6556, we have to find the factors of both numbers and list the highest common factor.
The factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622
The factors of 6556 are 1, 2, 4, 11, 22, 44, 149, 298, 596, 1639, 3278, 6556
The HCF of 7622,6556 is 2.
Lets's calculate GCF of 7622,6556
| 2 | 7622, 6556 |
| 3811, 3278 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7622,6556 By Matching Biggest Common Factor Method
Now, list down the factors of 7622
:1,2,37,74,103,206,3811,7622
Now, list down the factors of 6556
:1,2,4,11,22,44,149,298,596,1639,3278,6556
Greatest Common Factor
We found the factors 7622,6556 . The biggest common factor number is the GCF number.
So the greatest common factor 7622,6556 is 2.
Lets's calculate LCM of 877,9827
Given numbers has no common factors except 1. So, there LCM is their product i.e 8618279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8618279
Therefore, the GCF of Fractions 7622/877,6556/9827 is 2/8618279
Least Common Multiple of 877,9827 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 877,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,9827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,9827) x common factors =1 x 1 = 1
LCM(877,9827) = ( 877 × 9827 ) / 1
LCM(877,9827) = 8618279 / 1
LCM(877,9827) = 8618279
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FAQs on GCF of Fractions of 7622/877, 6556/9827
1. What is the HCF of 7622,6556?
The HCF of 7622,6556 is 2
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 7622/877, 6556/9827?
Answer: GCF of Numerators as per given numbers 7622/877, 6556/9827 is
GCF of Numerators i.e. for 7622,6556 is 2
LCM of denominators i.e. for 877,9827 is 8618279.
Thus, GCF of Fractions is 2/8618279.Finally, GCF of Fractions for 7622/877, 6556/9827 is 2/8618279.