GCF of 1264/519, 1547/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1264/519, 1547/678 i.e 1/117294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1264/519, 1547/678.
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 1264/519,1547/678?
Given fractions are 1264/519,1547/678
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 1264/519,1547/678, numerators are 1264,1547
Denominators are 519,678
The GCF of 1264,1547 is 1 .
LCM of 519,678 is 117294.
The greatest common factor of 1264/519,1547/678 = [GCF of 1264,1547]/[LCM of 519,678]= 1/117294
Therefore, the GCF of 1264/519,1547/678 is 1/117294.
To find the highest common factor of 1264,1547, we have to find the factors of both numbers and list the highest common factor.
The factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264
The factors of 1547 are 1, 7, 13, 17, 91, 119, 221, 1547
The HCF of 1264,1547 is 1.
Lets's calculate GCF of 1264,1547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1264,1547 By Matching Biggest Common Factor Method
Now, list down the factors of 1264
:1,2,4,8,16,79,158,316,632,1264
Now, list down the factors of 1547
:1,7,13,17,91,119,221,1547
Greatest Common Factor
We found the factors 1264,1547 . The biggest common factor number is the GCF number.
So the greatest common factor 1264,1547 is 1.
Lets's calculate LCM of 519,678
| 3 | 519, 678 |
| 173, 226 |
∴ So the LCM of the given numbers is 3 x 173 x 226 = 117294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117294
Therefore, the GCF of Fractions 1264/519,1547/678 is 1/117294
Least Common Multiple of 519,678 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 519,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,678) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,678) x common factors =3 x 1 = 3
LCM(519,678) = ( 519 × 678 ) / 3
LCM(519,678) = 351882 / 3
LCM(519,678) = 117294
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FAQs on GCF of Fractions of 1264/519, 1547/678
1. What is the HCF of 1264,1547?
The HCF of 1264,1547 is 1
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 1264/519, 1547/678?
Answer: GCF of Numerators as per given numbers 1264/519, 1547/678 is
GCF of Numerators i.e. for 1264,1547 is 1
LCM of denominators i.e. for 519,678 is 117294.
Thus, GCF of Fractions is 1/117294.Finally, GCF of Fractions for 1264/519, 1547/678 is 1/117294.