GCF of 3246/768, 2978/9654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3246/768, 2978/9654 i.e 2/1235712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3246/768, 2978/9654.
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 3246/768,2978/9654?
Given fractions are 3246/768,2978/9654
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 3246/768,2978/9654, numerators are 3246,2978
Denominators are 768,9654
The GCF of 3246,2978 is 2 .
LCM of 768,9654 is 1235712.
The greatest common factor of 3246/768,2978/9654 = [GCF of 3246,2978]/[LCM of 768,9654]= 2/1235712
Therefore, the GCF of 3246/768,2978/9654 is 2/1235712.
To find the highest common factor of 3246,2978, we have to find the factors of both numbers and list the highest common factor.
The factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246
The factors of 2978 are 1, 2, 1489, 2978
The HCF of 3246,2978 is 2.
Lets's calculate GCF of 3246,2978
| 2 | 3246, 2978 |
| 1623, 1489 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3246,2978 By Matching Biggest Common Factor Method
Now, list down the factors of 3246
:1,2,3,6,541,1082,1623,3246
Now, list down the factors of 2978
:1,2,1489,2978
Greatest Common Factor
We found the factors 3246,2978 . The biggest common factor number is the GCF number.
So the greatest common factor 3246,2978 is 2.
Lets's calculate LCM of 768,9654
| 2 | 768, 9654 |
| 3 | 384, 4827 |
| 128, 1609 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 1609 = 1235712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1235712
Therefore, the GCF of Fractions 3246/768,2978/9654 is 2/1235712
Least Common Multiple of 768,9654 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 768,9654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,9654) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,9654) x common factors =6 x 1 = 6
LCM(768,9654) = ( 768 × 9654 ) / 6
LCM(768,9654) = 7414272 / 6
LCM(768,9654) = 1235712
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FAQs on GCF of Fractions of 3246/768, 2978/9654
1. What is the HCF of 3246,2978?
The HCF of 3246,2978 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 3246/768, 2978/9654?
Answer: GCF of Numerators as per given numbers 3246/768, 2978/9654 is
GCF of Numerators i.e. for 3246,2978 is 2
LCM of denominators i.e. for 768,9654 is 1235712.
Thus, GCF of Fractions is 2/1235712.Finally, GCF of Fractions for 3246/768, 2978/9654 is 2/1235712.