GCF of 7958/846, 6477/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7958/846, 6477/410 i.e 1/173430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7958/846, 6477/410.
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 7958/846,6477/410?
Given fractions are 7958/846,6477/410
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 7958/846,6477/410, numerators are 7958,6477
Denominators are 846,410
The GCF of 7958,6477 is 1 .
LCM of 846,410 is 173430.
The greatest common factor of 7958/846,6477/410 = [GCF of 7958,6477]/[LCM of 846,410]= 1/173430
Therefore, the GCF of 7958/846,6477/410 is 1/173430.
To find the highest common factor of 7958,6477, we have to find the factors of both numbers and list the highest common factor.
The factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958
The factors of 6477 are 1, 3, 17, 51, 127, 381, 2159, 6477
The HCF of 7958,6477 is 1.
Lets's calculate GCF of 7958,6477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7958,6477 By Matching Biggest Common Factor Method
Now, list down the factors of 7958
:1,2,23,46,173,346,3979,7958
Now, list down the factors of 6477
:1,3,17,51,127,381,2159,6477
Greatest Common Factor
We found the factors 7958,6477 . The biggest common factor number is the GCF number.
So the greatest common factor 7958,6477 is 1.
Lets's calculate LCM of 846,410
| 2 | 846, 410 |
| 423, 205 |
∴ So the LCM of the given numbers is 2 x 423 x 205 = 173430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173430
Therefore, the GCF of Fractions 7958/846,6477/410 is 1/173430
Least Common Multiple of 846,410 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 846,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,410) x common factors =2 x 1 = 2
LCM(846,410) = ( 846 × 410 ) / 2
LCM(846,410) = 346860 / 2
LCM(846,410) = 173430
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FAQs on GCF of Fractions of 7958/846, 6477/410
1. What is the HCF of 7958,6477?
The HCF of 7958,6477 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 7958/846, 6477/410?
Answer: GCF of Numerators as per given numbers 7958/846, 6477/410 is
GCF of Numerators i.e. for 7958,6477 is 1
LCM of denominators i.e. for 846,410 is 173430.
Thus, GCF of Fractions is 1/173430.Finally, GCF of Fractions for 7958/846, 6477/410 is 1/173430.