GCF of 3156/480, 7546/1654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3156/480, 7546/1654 i.e 2/396960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3156/480, 7546/1654.
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 3156/480,7546/1654?
Given fractions are 3156/480,7546/1654
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 3156/480,7546/1654, numerators are 3156,7546
Denominators are 480,1654
The GCF of 3156,7546 is 2 .
LCM of 480,1654 is 396960.
The greatest common factor of 3156/480,7546/1654 = [GCF of 3156,7546]/[LCM of 480,1654]= 2/396960
Therefore, the GCF of 3156/480,7546/1654 is 2/396960.
To find the highest common factor of 3156,7546, we have to find the factors of both numbers and list the highest common factor.
The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156
The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
The HCF of 3156,7546 is 2.
Lets's calculate GCF of 3156,7546
| 2 | 3156, 7546 |
| 1578, 3773 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3156,7546 By Matching Biggest Common Factor Method
Now, list down the factors of 3156
:1,2,3,4,6,12,263,526,789,1052,1578,3156
Now, list down the factors of 7546
:1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Greatest Common Factor
We found the factors 3156,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 3156,7546 is 2.
Lets's calculate LCM of 480,1654
| 2 | 480, 1654 |
| 240, 827 |
∴ So the LCM of the given numbers is 2 x 240 x 827 = 396960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/396960
Therefore, the GCF of Fractions 3156/480,7546/1654 is 2/396960
Least Common Multiple of 480,1654 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 480,1654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,1654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(480,1654) x common factors =2 x 1 = 2
LCM(480,1654) = ( 480 × 1654 ) / 2
LCM(480,1654) = 793920 / 2
LCM(480,1654) = 396960
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FAQs on GCF of Fractions of 3156/480, 7546/1654
1. What is the HCF of 3156,7546?
The HCF of 3156,7546 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 3156/480, 7546/1654?
Answer: GCF of Numerators as per given numbers 3156/480, 7546/1654 is
GCF of Numerators i.e. for 3156,7546 is 2
LCM of denominators i.e. for 480,1654 is 396960.
Thus, GCF of Fractions is 2/396960.Finally, GCF of Fractions for 3156/480, 7546/1654 is 2/396960.