GCF of 9006/938, 4312/6130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9006/938, 4312/6130 i.e 2/2874970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9006/938, 4312/6130.
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 9006/938,4312/6130?
Given fractions are 9006/938,4312/6130
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 9006/938,4312/6130, numerators are 9006,4312
Denominators are 938,6130
The GCF of 9006,4312 is 2 .
LCM of 938,6130 is 2874970.
The greatest common factor of 9006/938,4312/6130 = [GCF of 9006,4312]/[LCM of 938,6130]= 2/2874970
Therefore, the GCF of 9006/938,4312/6130 is 2/2874970.
To find the highest common factor of 9006,4312, we have to find the factors of both numbers and list the highest common factor.
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The HCF of 9006,4312 is 2.
Lets's calculate GCF of 9006,4312
| 2 | 9006, 4312 |
| 4503, 2156 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9006,4312 By Matching Biggest Common Factor Method
Now, list down the factors of 9006
:1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 9006,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 9006,4312 is 2.
Lets's calculate LCM of 938,6130
| 2 | 938, 6130 |
| 469, 3065 |
∴ So the LCM of the given numbers is 2 x 469 x 3065 = 2874970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2874970
Therefore, the GCF of Fractions 9006/938,4312/6130 is 2/2874970
Least Common Multiple of 938,6130 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 938,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,6130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,6130) x common factors =2 x 1 = 2
LCM(938,6130) = ( 938 × 6130 ) / 2
LCM(938,6130) = 5749940 / 2
LCM(938,6130) = 2874970
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FAQs on GCF of Fractions of 9006/938, 4312/6130
1. What is the HCF of 9006,4312?
The HCF of 9006,4312 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 9006/938, 4312/6130?
Answer: GCF of Numerators as per given numbers 9006/938, 4312/6130 is
GCF of Numerators i.e. for 9006,4312 is 2
LCM of denominators i.e. for 938,6130 is 2874970.
Thus, GCF of Fractions is 2/2874970.Finally, GCF of Fractions for 9006/938, 4312/6130 is 2/2874970.