GCF of 2907/208, 4769/9444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2907/208, 4769/9444 i.e 19/491088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2907/208, 4769/9444.
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 2907/208,4769/9444?
Given fractions are 2907/208,4769/9444
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 2907/208,4769/9444, numerators are 2907,4769
Denominators are 208,9444
The GCF of 2907,4769 is 19 .
LCM of 208,9444 is 491088.
The greatest common factor of 2907/208,4769/9444 = [GCF of 2907,4769]/[LCM of 208,9444]= 19/491088
Therefore, the GCF of 2907/208,4769/9444 is 19/491088.
To find the highest common factor of 2907,4769, we have to find the factors of both numbers and list the highest common factor.
The factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907
The factors of 4769 are 1, 19, 251, 4769
The HCF of 2907,4769 is 19.
Lets's calculate GCF of 2907,4769
| 19 | 2907, 4769 |
| 153, 251 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 2907,4769 By Matching Biggest Common Factor Method
Now, list down the factors of 2907
:1,3,9,17,19,51,57,153,171,323,969,2907
Now, list down the factors of 4769
:1,19,251,4769
Greatest Common Factor
We found the factors 2907,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 2907,4769 is 19.
Lets's calculate LCM of 208,9444
| 2 | 208, 9444 |
| 2 | 104, 4722 |
| 52, 2361 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 2361 = 491088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/491088
Therefore, the GCF of Fractions 2907/208,4769/9444 is 19/491088
Least Common Multiple of 208,9444 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 208,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,9444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,9444) x common factors =4 x 1 = 4
LCM(208,9444) = ( 208 × 9444 ) / 4
LCM(208,9444) = 1964352 / 4
LCM(208,9444) = 491088
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FAQs on GCF of Fractions of 2907/208, 4769/9444
1. What is the HCF of 2907,4769?
The HCF of 2907,4769 is 19
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 2907/208, 4769/9444?
Answer: GCF of Numerators as per given numbers 2907/208, 4769/9444 is
GCF of Numerators i.e. for 2907,4769 is 19
LCM of denominators i.e. for 208,9444 is 491088.
Thus, GCF of Fractions is 19/491088.Finally, GCF of Fractions for 2907/208, 4769/9444 is 19/491088.