GCF of 9149/762, 7803/2970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9149/762, 7803/2970 i.e 1/377190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9149/762, 7803/2970.
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 9149/762,7803/2970?
Given fractions are 9149/762,7803/2970
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 9149/762,7803/2970, numerators are 9149,7803
Denominators are 762,2970
The GCF of 9149,7803 is 1 .
LCM of 762,2970 is 377190.
The greatest common factor of 9149/762,7803/2970 = [GCF of 9149,7803]/[LCM of 762,2970]= 1/377190
Therefore, the GCF of 9149/762,7803/2970 is 1/377190.
To find the highest common factor of 9149,7803, we have to find the factors of both numbers and list the highest common factor.
The factors of 9149 are 1, 7, 1307, 9149
The factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803
The HCF of 9149,7803 is 1.
Lets's calculate GCF of 9149,7803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9149,7803 By Matching Biggest Common Factor Method
Now, list down the factors of 9149
:1,7,1307,9149
Now, list down the factors of 7803
:1,3,9,17,27,51,153,289,459,867,2601,7803
Greatest Common Factor
We found the factors 9149,7803 . The biggest common factor number is the GCF number.
So the greatest common factor 9149,7803 is 1.
Lets's calculate LCM of 762,2970
| 2 | 762, 2970 |
| 3 | 381, 1485 |
| 127, 495 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 495 = 377190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377190
Therefore, the GCF of Fractions 9149/762,7803/2970 is 1/377190
Least Common Multiple of 762,2970 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 762,2970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,2970) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,2970) x common factors =6 x 1 = 6
LCM(762,2970) = ( 762 × 2970 ) / 6
LCM(762,2970) = 2263140 / 6
LCM(762,2970) = 377190
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FAQs on GCF of Fractions of 9149/762, 7803/2970
1. What is the HCF of 9149,7803?
The HCF of 9149,7803 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 9149/762, 7803/2970?
Answer: GCF of Numerators as per given numbers 9149/762, 7803/2970 is
GCF of Numerators i.e. for 9149,7803 is 1
LCM of denominators i.e. for 762,2970 is 377190.
Thus, GCF of Fractions is 1/377190.Finally, GCF of Fractions for 9149/762, 7803/2970 is 1/377190.