GCF of 1120/354, 2905/7774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1120/354, 2905/7774 i.e 35/1375998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1120/354, 2905/7774.
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 1120/354,2905/7774?
Given fractions are 1120/354,2905/7774
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 1120/354,2905/7774, numerators are 1120,2905
Denominators are 354,7774
The GCF of 1120,2905 is 35 .
LCM of 354,7774 is 1375998.
The greatest common factor of 1120/354,2905/7774 = [GCF of 1120,2905]/[LCM of 354,7774]= 35/1375998
Therefore, the GCF of 1120/354,2905/7774 is 35/1375998.
To find the highest common factor of 1120,2905, we have to find the factors of both numbers and list the highest common factor.
The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
The factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905
The HCF of 1120,2905 is 35.
Lets's calculate GCF of 1120,2905
| 5 | 1120, 2905 |
| 7 | 224, 581 |
| 32, 83 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 1120,2905 By Matching Biggest Common Factor Method
Now, list down the factors of 1120
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Now, list down the factors of 2905
:1,5,7,35,83,415,581,2905
Greatest Common Factor
We found the factors 1120,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 1120,2905 is 35.
Lets's calculate LCM of 354,7774
| 2 | 354, 7774 |
| 177, 3887 |
∴ So the LCM of the given numbers is 2 x 177 x 3887 = 1375998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/1375998
Therefore, the GCF of Fractions 1120/354,2905/7774 is 35/1375998
Least Common Multiple of 354,7774 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 354,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7774) x common factors =2 x 1 = 2
LCM(354,7774) = ( 354 × 7774 ) / 2
LCM(354,7774) = 2751996 / 2
LCM(354,7774) = 1375998
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FAQs on GCF of Fractions of 1120/354, 2905/7774
1. What is the HCF of 1120,2905?
The HCF of 1120,2905 is 35
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 1120/354, 2905/7774?
Answer: GCF of Numerators as per given numbers 1120/354, 2905/7774 is
GCF of Numerators i.e. for 1120,2905 is 35
LCM of denominators i.e. for 354,7774 is 1375998.
Thus, GCF of Fractions is 35/1375998.Finally, GCF of Fractions for 1120/354, 2905/7774 is 35/1375998.