GCF of 3720/686, 2264/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3720/686, 2264/732 i.e 8/251076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3720/686, 2264/732.
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 3720/686,2264/732?
Given fractions are 3720/686,2264/732
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 3720/686,2264/732, numerators are 3720,2264
Denominators are 686,732
The GCF of 3720,2264 is 8 .
LCM of 686,732 is 251076.
The greatest common factor of 3720/686,2264/732 = [GCF of 3720,2264]/[LCM of 686,732]= 8/251076
Therefore, the GCF of 3720/686,2264/732 is 8/251076.
To find the highest common factor of 3720,2264, we have to find the factors of both numbers and list the highest common factor.
The factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720
The factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264
The HCF of 3720,2264 is 8.
Lets's calculate GCF of 3720,2264
| 2 | 3720, 2264 |
| 2 | 1860, 1132 |
| 2 | 930, 566 |
| 465, 283 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3720,2264 By Matching Biggest Common Factor Method
Now, list down the factors of 3720
:1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720
Now, list down the factors of 2264
:1,2,4,8,283,566,1132,2264
Greatest Common Factor
We found the factors 3720,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 3720,2264 is 8.
Lets's calculate LCM of 686,732
| 2 | 686, 732 |
| 343, 366 |
∴ So the LCM of the given numbers is 2 x 343 x 366 = 251076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/251076
Therefore, the GCF of Fractions 3720/686,2264/732 is 8/251076
Least Common Multiple of 686,732 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 686,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,732) x common factors =2 x 1 = 2
LCM(686,732) = ( 686 × 732 ) / 2
LCM(686,732) = 502152 / 2
LCM(686,732) = 251076
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FAQs on GCF of Fractions of 3720/686, 2264/732
1. What is the HCF of 3720,2264?
The HCF of 3720,2264 is 8
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 3720/686, 2264/732?
Answer: GCF of Numerators as per given numbers 3720/686, 2264/732 is
GCF of Numerators i.e. for 3720,2264 is 8
LCM of denominators i.e. for 686,732 is 251076.
Thus, GCF of Fractions is 8/251076.Finally, GCF of Fractions for 3720/686, 2264/732 is 8/251076.