GCF of 4358/172, 7662/6281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4358/172, 7662/6281 i.e 2/1080332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4358/172, 7662/6281.
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 4358/172,7662/6281?
Given fractions are 4358/172,7662/6281
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 4358/172,7662/6281, numerators are 4358,7662
Denominators are 172,6281
The GCF of 4358,7662 is 2 .
LCM of 172,6281 is 1080332.
The greatest common factor of 4358/172,7662/6281 = [GCF of 4358,7662]/[LCM of 172,6281]= 2/1080332
Therefore, the GCF of 4358/172,7662/6281 is 2/1080332.
To find the highest common factor of 4358,7662, we have to find the factors of both numbers and list the highest common factor.
The factors of 4358 are 1, 2, 2179, 4358
The factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662
The HCF of 4358,7662 is 2.
Lets's calculate GCF of 4358,7662
| 2 | 4358, 7662 |
| 2179, 3831 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4358,7662 By Matching Biggest Common Factor Method
Now, list down the factors of 4358
:1,2,2179,4358
Now, list down the factors of 7662
:1,2,3,6,1277,2554,3831,7662
Greatest Common Factor
We found the factors 4358,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,7662 is 2.
Lets's calculate LCM of 172,6281
Given numbers has no common factors except 1. So, there LCM is their product i.e 1080332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1080332
Therefore, the GCF of Fractions 4358/172,7662/6281 is 2/1080332
Least Common Multiple of 172,6281 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 172,6281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,6281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,6281) x common factors =1 x 1 = 1
LCM(172,6281) = ( 172 × 6281 ) / 1
LCM(172,6281) = 1080332 / 1
LCM(172,6281) = 1080332
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FAQs on GCF of Fractions of 4358/172, 7662/6281
1. What is the HCF of 4358,7662?
The HCF of 4358,7662 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 4358/172, 7662/6281?
Answer: GCF of Numerators as per given numbers 4358/172, 7662/6281 is
GCF of Numerators i.e. for 4358,7662 is 2
LCM of denominators i.e. for 172,6281 is 1080332.
Thus, GCF of Fractions is 2/1080332.Finally, GCF of Fractions for 4358/172, 7662/6281 is 2/1080332.