GCF of 3700/916, 5304/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3700/916, 5304/344 i.e 4/78776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3700/916, 5304/344.
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 3700/916,5304/344?
Given fractions are 3700/916,5304/344
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 3700/916,5304/344, numerators are 3700,5304
Denominators are 916,344
The GCF of 3700,5304 is 4 .
LCM of 916,344 is 78776.
The greatest common factor of 3700/916,5304/344 = [GCF of 3700,5304]/[LCM of 916,344]= 4/78776
Therefore, the GCF of 3700/916,5304/344 is 4/78776.
To find the highest common factor of 3700,5304, we have to find the factors of both numbers and list the highest common factor.
The factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The HCF of 3700,5304 is 4.
Lets's calculate GCF of 3700,5304
| 2 | 3700, 5304 |
| 2 | 1850, 2652 |
| 925, 1326 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3700,5304 By Matching Biggest Common Factor Method
Now, list down the factors of 3700
:1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Greatest Common Factor
We found the factors 3700,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 3700,5304 is 4.
Lets's calculate LCM of 916,344
| 2 | 916, 344 |
| 2 | 458, 172 |
| 229, 86 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 86 = 78776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/78776
Therefore, the GCF of Fractions 3700/916,5304/344 is 4/78776
Least Common Multiple of 916,344 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 916,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,344) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,344) x common factors =4 x 1 = 4
LCM(916,344) = ( 916 × 344 ) / 4
LCM(916,344) = 315104 / 4
LCM(916,344) = 78776
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FAQs on GCF of Fractions of 3700/916, 5304/344
1. What is the HCF of 3700,5304?
The HCF of 3700,5304 is 4
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 3700/916, 5304/344?
Answer: GCF of Numerators as per given numbers 3700/916, 5304/344 is
GCF of Numerators i.e. for 3700,5304 is 4
LCM of denominators i.e. for 916,344 is 78776.
Thus, GCF of Fractions is 4/78776.Finally, GCF of Fractions for 3700/916, 5304/344 is 4/78776.