GCF of 6398/101, 3128/3633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6398/101, 3128/3633 i.e 2/366933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6398/101, 3128/3633.
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 6398/101,3128/3633?
Given fractions are 6398/101,3128/3633
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 6398/101,3128/3633, numerators are 6398,3128
Denominators are 101,3633
The GCF of 6398,3128 is 2 .
LCM of 101,3633 is 366933.
The greatest common factor of 6398/101,3128/3633 = [GCF of 6398,3128]/[LCM of 101,3633]= 2/366933
Therefore, the GCF of 6398/101,3128/3633 is 2/366933.
To find the highest common factor of 6398,3128, we have to find the factors of both numbers and list the highest common factor.
The factors of 6398 are 1, 2, 7, 14, 457, 914, 3199, 6398
The factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128
The HCF of 6398,3128 is 2.
Lets's calculate GCF of 6398,3128
| 2 | 6398, 3128 |
| 3199, 1564 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6398,3128 By Matching Biggest Common Factor Method
Now, list down the factors of 6398
:1,2,7,14,457,914,3199,6398
Now, list down the factors of 3128
:1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Greatest Common Factor
We found the factors 6398,3128 . The biggest common factor number is the GCF number.
So the greatest common factor 6398,3128 is 2.
Lets's calculate LCM of 101,3633
Given numbers has no common factors except 1. So, there LCM is their product i.e 366933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/366933
Therefore, the GCF of Fractions 6398/101,3128/3633 is 2/366933
Least Common Multiple of 101,3633 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 101,3633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,3633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,3633) x common factors =1 x 1 = 1
LCM(101,3633) = ( 101 × 3633 ) / 1
LCM(101,3633) = 366933 / 1
LCM(101,3633) = 366933
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FAQs on GCF of Fractions of 6398/101, 3128/3633
1. What is the HCF of 6398,3128?
The HCF of 6398,3128 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 6398/101, 3128/3633?
Answer: GCF of Numerators as per given numbers 6398/101, 3128/3633 is
GCF of Numerators i.e. for 6398,3128 is 2
LCM of denominators i.e. for 101,3633 is 366933.
Thus, GCF of Fractions is 2/366933.Finally, GCF of Fractions for 6398/101, 3128/3633 is 2/366933.