GCF of 1382/645, 8976/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1382/645, 8976/678 i.e 2/145770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1382/645, 8976/678.
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 1382/645,8976/678?
Given fractions are 1382/645,8976/678
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 1382/645,8976/678, numerators are 1382,8976
Denominators are 645,678
The GCF of 1382,8976 is 2 .
LCM of 645,678 is 145770.
The greatest common factor of 1382/645,8976/678 = [GCF of 1382,8976]/[LCM of 645,678]= 2/145770
Therefore, the GCF of 1382/645,8976/678 is 2/145770.
To find the highest common factor of 1382,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 1382 are 1, 2, 691, 1382
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 1382,8976 is 2.
Lets's calculate GCF of 1382,8976
| 2 | 1382, 8976 |
| 691, 4488 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1382,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 1382
:1,2,691,1382
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 1382,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 1382,8976 is 2.
Lets's calculate LCM of 645,678
| 3 | 645, 678 |
| 215, 226 |
∴ So the LCM of the given numbers is 3 x 215 x 226 = 145770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145770
Therefore, the GCF of Fractions 1382/645,8976/678 is 2/145770
Least Common Multiple of 645,678 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 645,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,678) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,678) x common factors =3 x 1 = 3
LCM(645,678) = ( 645 × 678 ) / 3
LCM(645,678) = 437310 / 3
LCM(645,678) = 145770
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FAQs on GCF of Fractions of 1382/645, 8976/678
1. What is the HCF of 1382,8976?
The HCF of 1382,8976 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 1382/645, 8976/678?
Answer: GCF of Numerators as per given numbers 1382/645, 8976/678 is
GCF of Numerators i.e. for 1382,8976 is 2
LCM of denominators i.e. for 645,678 is 145770.
Thus, GCF of Fractions is 2/145770.Finally, GCF of Fractions for 1382/645, 8976/678 is 2/145770.