GCF of 3906/916, 5694/5544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3906/916, 5694/5544 i.e 6/1269576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3906/916, 5694/5544.
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 3906/916,5694/5544?
Given fractions are 3906/916,5694/5544
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 3906/916,5694/5544, numerators are 3906,5694
Denominators are 916,5544
The GCF of 3906,5694 is 6 .
LCM of 916,5544 is 1269576.
The greatest common factor of 3906/916,5694/5544 = [GCF of 3906,5694]/[LCM of 916,5544]= 6/1269576
Therefore, the GCF of 3906/916,5694/5544 is 6/1269576.
To find the highest common factor of 3906,5694, we have to find the factors of both numbers and list the highest common factor.
The factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
The factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694
The HCF of 3906,5694 is 6.
Lets's calculate GCF of 3906,5694
| 2 | 3906, 5694 |
| 3 | 1953, 2847 |
| 651, 949 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3906,5694 By Matching Biggest Common Factor Method
Now, list down the factors of 3906
:1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Now, list down the factors of 5694
:1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694
Greatest Common Factor
We found the factors 3906,5694 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,5694 is 6.
Lets's calculate LCM of 916,5544
| 2 | 916, 5544 |
| 2 | 458, 2772 |
| 229, 1386 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 1386 = 1269576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1269576
Therefore, the GCF of Fractions 3906/916,5694/5544 is 6/1269576
Least Common Multiple of 916,5544 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 916,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,5544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,5544) x common factors =4 x 1 = 4
LCM(916,5544) = ( 916 × 5544 ) / 4
LCM(916,5544) = 5078304 / 4
LCM(916,5544) = 1269576
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FAQs on GCF of Fractions of 3906/916, 5694/5544
1. What is the HCF of 3906,5694?
The HCF of 3906,5694 is 6
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 3906/916, 5694/5544?
Answer: GCF of Numerators as per given numbers 3906/916, 5694/5544 is
GCF of Numerators i.e. for 3906,5694 is 6
LCM of denominators i.e. for 916,5544 is 1269576.
Thus, GCF of Fractions is 6/1269576.Finally, GCF of Fractions for 3906/916, 5694/5544 is 6/1269576.