GCF of 2416/865, 3530/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2416/865, 3530/973 i.e 2/841645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2416/865, 3530/973.
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 2416/865,3530/973?
Given fractions are 2416/865,3530/973
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 2416/865,3530/973, numerators are 2416,3530
Denominators are 865,973
The GCF of 2416,3530 is 2 .
LCM of 865,973 is 841645.
The greatest common factor of 2416/865,3530/973 = [GCF of 2416,3530]/[LCM of 865,973]= 2/841645
Therefore, the GCF of 2416/865,3530/973 is 2/841645.
To find the highest common factor of 2416,3530, we have to find the factors of both numbers and list the highest common factor.
The factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416
The factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530
The HCF of 2416,3530 is 2.
Lets's calculate GCF of 2416,3530
| 2 | 2416, 3530 |
| 1208, 1765 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2416,3530 By Matching Biggest Common Factor Method
Now, list down the factors of 2416
:1,2,4,8,16,151,302,604,1208,2416
Now, list down the factors of 3530
:1,2,5,10,353,706,1765,3530
Greatest Common Factor
We found the factors 2416,3530 . The biggest common factor number is the GCF number.
So the greatest common factor 2416,3530 is 2.
Lets's calculate LCM of 865,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 841645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/841645
Therefore, the GCF of Fractions 2416/865,3530/973 is 2/841645
Least Common Multiple of 865,973 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 865,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,973) x common factors =1 x 1 = 1
LCM(865,973) = ( 865 × 973 ) / 1
LCM(865,973) = 841645 / 1
LCM(865,973) = 841645
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FAQs on GCF of Fractions of 2416/865, 3530/973
1. What is the HCF of 2416,3530?
The HCF of 2416,3530 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 2416/865, 3530/973?
Answer: GCF of Numerators as per given numbers 2416/865, 3530/973 is
GCF of Numerators i.e. for 2416,3530 is 2
LCM of denominators i.e. for 865,973 is 841645.
Thus, GCF of Fractions is 2/841645.Finally, GCF of Fractions for 2416/865, 3530/973 is 2/841645.