GCF of 1784/141, 7518/1977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1784/141, 7518/1977 i.e 2/92919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1784/141, 7518/1977.
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 1784/141,7518/1977?
Given fractions are 1784/141,7518/1977
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 1784/141,7518/1977, numerators are 1784,7518
Denominators are 141,1977
The GCF of 1784,7518 is 2 .
LCM of 141,1977 is 92919.
The greatest common factor of 1784/141,7518/1977 = [GCF of 1784,7518]/[LCM of 141,1977]= 2/92919
Therefore, the GCF of 1784/141,7518/1977 is 2/92919.
To find the highest common factor of 1784,7518, we have to find the factors of both numbers and list the highest common factor.
The factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784
The factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518
The HCF of 1784,7518 is 2.
Lets's calculate GCF of 1784,7518
| 2 | 1784, 7518 |
| 892, 3759 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1784,7518 By Matching Biggest Common Factor Method
Now, list down the factors of 1784
:1,2,4,8,223,446,892,1784
Now, list down the factors of 7518
:1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518
Greatest Common Factor
We found the factors 1784,7518 . The biggest common factor number is the GCF number.
So the greatest common factor 1784,7518 is 2.
Lets's calculate LCM of 141,1977
| 3 | 141, 1977 |
| 47, 659 |
∴ So the LCM of the given numbers is 3 x 47 x 659 = 92919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92919
Therefore, the GCF of Fractions 1784/141,7518/1977 is 2/92919
Least Common Multiple of 141,1977 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 141,1977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,1977) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,1977) x common factors =3 x 1 = 3
LCM(141,1977) = ( 141 × 1977 ) / 3
LCM(141,1977) = 278757 / 3
LCM(141,1977) = 92919
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FAQs on GCF of Fractions of 1784/141, 7518/1977
1. What is the HCF of 1784,7518?
The HCF of 1784,7518 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 1784/141, 7518/1977?
Answer: GCF of Numerators as per given numbers 1784/141, 7518/1977 is
GCF of Numerators i.e. for 1784,7518 is 2
LCM of denominators i.e. for 141,1977 is 92919.
Thus, GCF of Fractions is 2/92919.Finally, GCF of Fractions for 1784/141, 7518/1977 is 2/92919.