GCF of 1282/117, 6921/7467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1282/117, 6921/7467 i.e 1/291213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1282/117, 6921/7467.
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 1282/117,6921/7467?
Given fractions are 1282/117,6921/7467
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 1282/117,6921/7467, numerators are 1282,6921
Denominators are 117,7467
The GCF of 1282,6921 is 1 .
LCM of 117,7467 is 291213.
The greatest common factor of 1282/117,6921/7467 = [GCF of 1282,6921]/[LCM of 117,7467]= 1/291213
Therefore, the GCF of 1282/117,6921/7467 is 1/291213.
To find the highest common factor of 1282,6921, we have to find the factors of both numbers and list the highest common factor.
The factors of 1282 are 1, 2, 641, 1282
The factors of 6921 are 1, 3, 9, 769, 2307, 6921
The HCF of 1282,6921 is 1.
Lets's calculate GCF of 1282,6921
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1282,6921 By Matching Biggest Common Factor Method
Now, list down the factors of 1282
:1,2,641,1282
Now, list down the factors of 6921
:1,3,9,769,2307,6921
Greatest Common Factor
We found the factors 1282,6921 . The biggest common factor number is the GCF number.
So the greatest common factor 1282,6921 is 1.
Lets's calculate LCM of 117,7467
| 3 | 117, 7467 |
| 39, 2489 |
∴ So the LCM of the given numbers is 3 x 39 x 2489 = 291213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291213
Therefore, the GCF of Fractions 1282/117,6921/7467 is 1/291213
Least Common Multiple of 117,7467 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 117,7467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,7467) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(117,7467) x common factors =3 x 1 = 3
LCM(117,7467) = ( 117 × 7467 ) / 3
LCM(117,7467) = 873639 / 3
LCM(117,7467) = 291213
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FAQs on GCF of Fractions of 1282/117, 6921/7467
1. What is the HCF of 1282,6921?
The HCF of 1282,6921 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 1282/117, 6921/7467?
Answer: GCF of Numerators as per given numbers 1282/117, 6921/7467 is
GCF of Numerators i.e. for 1282,6921 is 1
LCM of denominators i.e. for 117,7467 is 291213.
Thus, GCF of Fractions is 1/291213.Finally, GCF of Fractions for 1282/117, 6921/7467 is 1/291213.