GCF of 6088/967, 9646/3128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6088/967, 9646/3128 i.e 2/3024776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6088/967, 9646/3128.
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 6088/967,9646/3128?
Given fractions are 6088/967,9646/3128
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 6088/967,9646/3128, numerators are 6088,9646
Denominators are 967,3128
The GCF of 6088,9646 is 2 .
LCM of 967,3128 is 3024776.
The greatest common factor of 6088/967,9646/3128 = [GCF of 6088,9646]/[LCM of 967,3128]= 2/3024776
Therefore, the GCF of 6088/967,9646/3128 is 2/3024776.
To find the highest common factor of 6088,9646, we have to find the factors of both numbers and list the highest common factor.
The factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The HCF of 6088,9646 is 2.
Lets's calculate GCF of 6088,9646
| 2 | 6088, 9646 |
| 3044, 4823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6088,9646 By Matching Biggest Common Factor Method
Now, list down the factors of 6088
:1,2,4,8,761,1522,3044,6088
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 6088,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 6088,9646 is 2.
Lets's calculate LCM of 967,3128
Given numbers has no common factors except 1. So, there LCM is their product i.e 3024776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3024776
Therefore, the GCF of Fractions 6088/967,9646/3128 is 2/3024776
Least Common Multiple of 967,3128 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 967,3128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3128) x common factors =1 x 1 = 1
LCM(967,3128) = ( 967 × 3128 ) / 1
LCM(967,3128) = 3024776 / 1
LCM(967,3128) = 3024776
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FAQs on GCF of Fractions of 6088/967, 9646/3128
1. What is the HCF of 6088,9646?
The HCF of 6088,9646 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 6088/967, 9646/3128?
Answer: GCF of Numerators as per given numbers 6088/967, 9646/3128 is
GCF of Numerators i.e. for 6088,9646 is 2
LCM of denominators i.e. for 967,3128 is 3024776.
Thus, GCF of Fractions is 2/3024776.Finally, GCF of Fractions for 6088/967, 9646/3128 is 2/3024776.