GCF of 3069/846, 1488/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3069/846, 1488/657 i.e 93/61758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3069/846, 1488/657.
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 3069/846,1488/657?
Given fractions are 3069/846,1488/657
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 3069/846,1488/657, numerators are 3069,1488
Denominators are 846,657
The GCF of 3069,1488 is 93 .
LCM of 846,657 is 61758.
The greatest common factor of 3069/846,1488/657 = [GCF of 3069,1488]/[LCM of 846,657]= 93/61758
Therefore, the GCF of 3069/846,1488/657 is 93/61758.
To find the highest common factor of 3069,1488, we have to find the factors of both numbers and list the highest common factor.
The factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488
The HCF of 3069,1488 is 93.
Lets's calculate GCF of 3069,1488
| 3 | 3069, 1488 |
| 31 | 1023, 496 |
| 33, 16 |
∴ So the GCF of the given numbers is 3 x 31 = 93
Greatest Common Factor of 3069,1488 By Matching Biggest Common Factor Method
Now, list down the factors of 3069
:1,3,9,11,31,33,93,99,279,341,1023,3069
Now, list down the factors of 1488
:1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Greatest Common Factor
We found the factors 3069,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 3069,1488 is 93.
Lets's calculate LCM of 846,657
| 3 | 846, 657 |
| 3 | 282, 219 |
| 94, 73 |
∴ So the LCM of the given numbers is 3 x 3 x 94 x 73 = 61758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 93/61758
Therefore, the GCF of Fractions 3069/846,1488/657 is 93/61758
Least Common Multiple of 846,657 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 846,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,657) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(846,657) x common factors =9 x 1 = 9
LCM(846,657) = ( 846 × 657 ) / 9
LCM(846,657) = 555822 / 9
LCM(846,657) = 61758
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FAQs on GCF of Fractions of 3069/846, 1488/657
1. What is the HCF of 3069,1488?
The HCF of 3069,1488 is 93
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 3069/846, 1488/657?
Answer: GCF of Numerators as per given numbers 3069/846, 1488/657 is
GCF of Numerators i.e. for 3069,1488 is 93
LCM of denominators i.e. for 846,657 is 61758.
Thus, GCF of Fractions is 93/61758.Finally, GCF of Fractions for 3069/846, 1488/657 is 93/61758.