GCF of 7606/710, 3616/2346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7606/710, 3616/2346 i.e 2/832830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7606/710, 3616/2346.
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 7606/710,3616/2346?
Given fractions are 7606/710,3616/2346
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 7606/710,3616/2346, numerators are 7606,3616
Denominators are 710,2346
The GCF of 7606,3616 is 2 .
LCM of 710,2346 is 832830.
The greatest common factor of 7606/710,3616/2346 = [GCF of 7606,3616]/[LCM of 710,2346]= 2/832830
Therefore, the GCF of 7606/710,3616/2346 is 2/832830.
To find the highest common factor of 7606,3616, we have to find the factors of both numbers and list the highest common factor.
The factors of 7606 are 1, 2, 3803, 7606
The factors of 3616 are 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616
The HCF of 7606,3616 is 2.
Lets's calculate GCF of 7606,3616
| 2 | 7606, 3616 |
| 3803, 1808 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7606,3616 By Matching Biggest Common Factor Method
Now, list down the factors of 7606
:1,2,3803,7606
Now, list down the factors of 3616
:1,2,4,8,16,32,113,226,452,904,1808,3616
Greatest Common Factor
We found the factors 7606,3616 . The biggest common factor number is the GCF number.
So the greatest common factor 7606,3616 is 2.
Lets's calculate LCM of 710,2346
| 2 | 710, 2346 |
| 355, 1173 |
∴ So the LCM of the given numbers is 2 x 355 x 1173 = 832830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/832830
Therefore, the GCF of Fractions 7606/710,3616/2346 is 2/832830
Least Common Multiple of 710,2346 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 710,2346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,2346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,2346) x common factors =2 x 1 = 2
LCM(710,2346) = ( 710 × 2346 ) / 2
LCM(710,2346) = 1665660 / 2
LCM(710,2346) = 832830
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FAQs on GCF of Fractions of 7606/710, 3616/2346
1. What is the HCF of 7606,3616?
The HCF of 7606,3616 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 7606/710, 3616/2346?
Answer: GCF of Numerators as per given numbers 7606/710, 3616/2346 is
GCF of Numerators i.e. for 7606,3616 is 2
LCM of denominators i.e. for 710,2346 is 832830.
Thus, GCF of Fractions is 2/832830.Finally, GCF of Fractions for 7606/710, 3616/2346 is 2/832830.