GCF of 6027/978, 9128/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6027/978, 9128/971 i.e 7/949638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6027/978, 9128/971.
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 6027/978,9128/971?
Given fractions are 6027/978,9128/971
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 6027/978,9128/971, numerators are 6027,9128
Denominators are 978,971
The GCF of 6027,9128 is 7 .
LCM of 978,971 is 949638.
The greatest common factor of 6027/978,9128/971 = [GCF of 6027,9128]/[LCM of 978,971]= 7/949638
Therefore, the GCF of 6027/978,9128/971 is 7/949638.
To find the highest common factor of 6027,9128, we have to find the factors of both numbers and list the highest common factor.
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The HCF of 6027,9128 is 7.
Lets's calculate GCF of 6027,9128
| 7 | 6027, 9128 |
| 861, 1304 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6027,9128 By Matching Biggest Common Factor Method
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Greatest Common Factor
We found the factors 6027,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 6027,9128 is 7.
Lets's calculate LCM of 978,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 949638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/949638
Therefore, the GCF of Fractions 6027/978,9128/971 is 7/949638
Least Common Multiple of 978,971 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 978,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,971) x common factors =1 x 1 = 1
LCM(978,971) = ( 978 × 971 ) / 1
LCM(978,971) = 949638 / 1
LCM(978,971) = 949638
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6027/978, 9128/971
1. What is the HCF of 6027,9128?
The HCF of 6027,9128 is 7
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 6027/978, 9128/971?
Answer: GCF of Numerators as per given numbers 6027/978, 9128/971 is
GCF of Numerators i.e. for 6027,9128 is 7
LCM of denominators i.e. for 978,971 is 949638.
Thus, GCF of Fractions is 7/949638.Finally, GCF of Fractions for 6027/978, 9128/971 is 7/949638.