GCF of 1914/896, 9776/3185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1914/896, 9776/3185 i.e 2/407680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1914/896, 9776/3185.
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 1914/896,9776/3185?
Given fractions are 1914/896,9776/3185
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 1914/896,9776/3185, numerators are 1914,9776
Denominators are 896,3185
The GCF of 1914,9776 is 2 .
LCM of 896,3185 is 407680.
The greatest common factor of 1914/896,9776/3185 = [GCF of 1914,9776]/[LCM of 896,3185]= 2/407680
Therefore, the GCF of 1914/896,9776/3185 is 2/407680.
To find the highest common factor of 1914,9776, we have to find the factors of both numbers and list the highest common factor.
The factors of 1914 are 1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 957, 1914
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776
The HCF of 1914,9776 is 2.
Lets's calculate GCF of 1914,9776
| 2 | 1914, 9776 |
| 957, 4888 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1914,9776 By Matching Biggest Common Factor Method
Now, list down the factors of 1914
:1,2,3,6,11,22,29,33,58,66,87,174,319,638,957,1914
Now, list down the factors of 9776
:1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Greatest Common Factor
We found the factors 1914,9776 . The biggest common factor number is the GCF number.
So the greatest common factor 1914,9776 is 2.
Lets's calculate LCM of 896,3185
| 7 | 896, 3185 |
| 128, 455 |
∴ So the LCM of the given numbers is 7 x 128 x 455 = 407680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407680
Therefore, the GCF of Fractions 1914/896,9776/3185 is 2/407680
Least Common Multiple of 896,3185 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 896,3185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,3185) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(896,3185) x common factors =7 x 1 = 7
LCM(896,3185) = ( 896 × 3185 ) / 7
LCM(896,3185) = 2853760 / 7
LCM(896,3185) = 407680
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FAQs on GCF of Fractions of 1914/896, 9776/3185
1. What is the HCF of 1914,9776?
The HCF of 1914,9776 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 1914/896, 9776/3185?
Answer: GCF of Numerators as per given numbers 1914/896, 9776/3185 is
GCF of Numerators i.e. for 1914,9776 is 2
LCM of denominators i.e. for 896,3185 is 407680.
Thus, GCF of Fractions is 2/407680.Finally, GCF of Fractions for 1914/896, 9776/3185 is 2/407680.