GCF of 2961/685, 2781/7419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2961/685, 2781/7419 i.e 9/5082015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2961/685, 2781/7419.
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 2961/685,2781/7419?
Given fractions are 2961/685,2781/7419
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 2961/685,2781/7419, numerators are 2961,2781
Denominators are 685,7419
The GCF of 2961,2781 is 9 .
LCM of 685,7419 is 5082015.
The greatest common factor of 2961/685,2781/7419 = [GCF of 2961,2781]/[LCM of 685,7419]= 9/5082015
Therefore, the GCF of 2961/685,2781/7419 is 9/5082015.
To find the highest common factor of 2961,2781, we have to find the factors of both numbers and list the highest common factor.
The factors of 2961 are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961
The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781
The HCF of 2961,2781 is 9.
Lets's calculate GCF of 2961,2781
| 3 | 2961, 2781 |
| 3 | 987, 927 |
| 329, 309 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2961,2781 By Matching Biggest Common Factor Method
Now, list down the factors of 2961
:1,3,7,9,21,47,63,141,329,423,987,2961
Now, list down the factors of 2781
:1,3,9,27,103,309,927,2781
Greatest Common Factor
We found the factors 2961,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 2961,2781 is 9.
Lets's calculate LCM of 685,7419
Given numbers has no common factors except 1. So, there LCM is their product i.e 5082015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5082015
Therefore, the GCF of Fractions 2961/685,2781/7419 is 9/5082015
Least Common Multiple of 685,7419 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 685,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,7419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,7419) x common factors =1 x 1 = 1
LCM(685,7419) = ( 685 × 7419 ) / 1
LCM(685,7419) = 5082015 / 1
LCM(685,7419) = 5082015
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FAQs on GCF of Fractions of 2961/685, 2781/7419
1. What is the HCF of 2961,2781?
The HCF of 2961,2781 is 9
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 2961/685, 2781/7419?
Answer: GCF of Numerators as per given numbers 2961/685, 2781/7419 is
GCF of Numerators i.e. for 2961,2781 is 9
LCM of denominators i.e. for 685,7419 is 5082015.
Thus, GCF of Fractions is 9/5082015.Finally, GCF of Fractions for 2961/685, 2781/7419 is 9/5082015.