GCF of 1352/868, 1900/4447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1352/868, 1900/4447 i.e 4/3859996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1352/868, 1900/4447.
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 1352/868,1900/4447?
Given fractions are 1352/868,1900/4447
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 1352/868,1900/4447, numerators are 1352,1900
Denominators are 868,4447
The GCF of 1352,1900 is 4 .
LCM of 868,4447 is 3859996.
The greatest common factor of 1352/868,1900/4447 = [GCF of 1352,1900]/[LCM of 868,4447]= 4/3859996
Therefore, the GCF of 1352/868,1900/4447 is 4/3859996.
To find the highest common factor of 1352,1900, we have to find the factors of both numbers and list the highest common factor.
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352
The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900
The HCF of 1352,1900 is 4.
Lets's calculate GCF of 1352,1900
| 2 | 1352, 1900 |
| 2 | 676, 950 |
| 338, 475 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1352,1900 By Matching Biggest Common Factor Method
Now, list down the factors of 1352
:1,2,4,8,13,26,52,104,169,338,676,1352
Now, list down the factors of 1900
:1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Greatest Common Factor
We found the factors 1352,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 1352,1900 is 4.
Lets's calculate LCM of 868,4447
Given numbers has no common factors except 1. So, there LCM is their product i.e 3859996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3859996
Therefore, the GCF of Fractions 1352/868,1900/4447 is 4/3859996
Least Common Multiple of 868,4447 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 868,4447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,4447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,4447) x common factors =1 x 1 = 1
LCM(868,4447) = ( 868 × 4447 ) / 1
LCM(868,4447) = 3859996 / 1
LCM(868,4447) = 3859996
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FAQs on GCF of Fractions of 1352/868, 1900/4447
1. What is the HCF of 1352,1900?
The HCF of 1352,1900 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 1352/868, 1900/4447?
Answer: GCF of Numerators as per given numbers 1352/868, 1900/4447 is
GCF of Numerators i.e. for 1352,1900 is 4
LCM of denominators i.e. for 868,4447 is 3859996.
Thus, GCF of Fractions is 4/3859996.Finally, GCF of Fractions for 1352/868, 1900/4447 is 4/3859996.