GCF of 7658/420, 6473/5781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7658/420, 6473/5781 i.e 1/809340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7658/420, 6473/5781.
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 7658/420,6473/5781?
Given fractions are 7658/420,6473/5781
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 7658/420,6473/5781, numerators are 7658,6473
Denominators are 420,5781
The GCF of 7658,6473 is 1 .
LCM of 420,5781 is 809340.
The greatest common factor of 7658/420,6473/5781 = [GCF of 7658,6473]/[LCM of 420,5781]= 1/809340
Therefore, the GCF of 7658/420,6473/5781 is 1/809340.
To find the highest common factor of 7658,6473, we have to find the factors of both numbers and list the highest common factor.
The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658
The factors of 6473 are 1, 6473
The HCF of 7658,6473 is 1.
Lets's calculate GCF of 7658,6473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7658,6473 By Matching Biggest Common Factor Method
Now, list down the factors of 7658
:1,2,7,14,547,1094,3829,7658
Now, list down the factors of 6473
:1,6473
Greatest Common Factor
We found the factors 7658,6473 . The biggest common factor number is the GCF number.
So the greatest common factor 7658,6473 is 1.
Lets's calculate LCM of 420,5781
| 3 | 420, 5781 |
| 140, 1927 |
∴ So the LCM of the given numbers is 3 x 140 x 1927 = 809340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809340
Therefore, the GCF of Fractions 7658/420,6473/5781 is 1/809340
Least Common Multiple of 420,5781 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 420,5781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,5781) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,5781) x common factors =3 x 1 = 3
LCM(420,5781) = ( 420 × 5781 ) / 3
LCM(420,5781) = 2428020 / 3
LCM(420,5781) = 809340
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FAQs on GCF of Fractions of 7658/420, 6473/5781
1. What is the HCF of 7658,6473?
The HCF of 7658,6473 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 7658/420, 6473/5781?
Answer: GCF of Numerators as per given numbers 7658/420, 6473/5781 is
GCF of Numerators i.e. for 7658,6473 is 1
LCM of denominators i.e. for 420,5781 is 809340.
Thus, GCF of Fractions is 1/809340.Finally, GCF of Fractions for 7658/420, 6473/5781 is 1/809340.