GCF of 3070/914, 1280/2455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3070/914, 1280/2455 i.e 10/2243870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3070/914, 1280/2455.
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 3070/914,1280/2455?
Given fractions are 3070/914,1280/2455
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 3070/914,1280/2455, numerators are 3070,1280
Denominators are 914,2455
The GCF of 3070,1280 is 10 .
LCM of 914,2455 is 2243870.
The greatest common factor of 3070/914,1280/2455 = [GCF of 3070,1280]/[LCM of 914,2455]= 10/2243870
Therefore, the GCF of 3070/914,1280/2455 is 10/2243870.
To find the highest common factor of 3070,1280, we have to find the factors of both numbers and list the highest common factor.
The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
The HCF of 3070,1280 is 10.
Lets's calculate GCF of 3070,1280
| 2 | 3070, 1280 |
| 5 | 1535, 640 |
| 307, 128 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3070,1280 By Matching Biggest Common Factor Method
Now, list down the factors of 3070
:1,2,5,10,307,614,1535,3070
Now, list down the factors of 1280
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Greatest Common Factor
We found the factors 3070,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 3070,1280 is 10.
Lets's calculate LCM of 914,2455
Given numbers has no common factors except 1. So, there LCM is their product i.e 2243870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2243870
Therefore, the GCF of Fractions 3070/914,1280/2455 is 10/2243870
Least Common Multiple of 914,2455 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 914,2455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,2455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,2455) x common factors =1 x 1 = 1
LCM(914,2455) = ( 914 × 2455 ) / 1
LCM(914,2455) = 2243870 / 1
LCM(914,2455) = 2243870
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FAQs on GCF of Fractions of 3070/914, 1280/2455
1. What is the HCF of 3070,1280?
The HCF of 3070,1280 is 10
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 3070/914, 1280/2455?
Answer: GCF of Numerators as per given numbers 3070/914, 1280/2455 is
GCF of Numerators i.e. for 3070,1280 is 10
LCM of denominators i.e. for 914,2455 is 2243870.
Thus, GCF of Fractions is 10/2243870.Finally, GCF of Fractions for 3070/914, 1280/2455 is 10/2243870.