GCF of 7921/826, 6994/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7921/826, 6994/986 i.e 1/407218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7921/826, 6994/986.
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 7921/826,6994/986?
Given fractions are 7921/826,6994/986
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 7921/826,6994/986, numerators are 7921,6994
Denominators are 826,986
The GCF of 7921,6994 is 1 .
LCM of 826,986 is 407218.
The greatest common factor of 7921/826,6994/986 = [GCF of 7921,6994]/[LCM of 826,986]= 1/407218
Therefore, the GCF of 7921/826,6994/986 is 1/407218.
To find the highest common factor of 7921,6994, we have to find the factors of both numbers and list the highest common factor.
The factors of 7921 are 1, 89, 7921
The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994
The HCF of 7921,6994 is 1.
Lets's calculate GCF of 7921,6994
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7921,6994 By Matching Biggest Common Factor Method
Now, list down the factors of 7921
:1,89,7921
Now, list down the factors of 6994
:1,2,13,26,269,538,3497,6994
Greatest Common Factor
We found the factors 7921,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 7921,6994 is 1.
Lets's calculate LCM of 826,986
| 2 | 826, 986 |
| 413, 493 |
∴ So the LCM of the given numbers is 2 x 413 x 493 = 407218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407218
Therefore, the GCF of Fractions 7921/826,6994/986 is 1/407218
Least Common Multiple of 826,986 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 826,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,986) x common factors =2 x 1 = 2
LCM(826,986) = ( 826 × 986 ) / 2
LCM(826,986) = 814436 / 2
LCM(826,986) = 407218
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FAQs on GCF of Fractions of 7921/826, 6994/986
1. What is the HCF of 7921,6994?
The HCF of 7921,6994 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 7921/826, 6994/986?
Answer: GCF of Numerators as per given numbers 7921/826, 6994/986 is
GCF of Numerators i.e. for 7921,6994 is 1
LCM of denominators i.e. for 826,986 is 407218.
Thus, GCF of Fractions is 1/407218.Finally, GCF of Fractions for 7921/826, 6994/986 is 1/407218.