GCF of 1400/961, 1330/3136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1400/961, 1330/3136 i.e 70/3013696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1400/961, 1330/3136.
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 1400/961,1330/3136?
Given fractions are 1400/961,1330/3136
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 1400/961,1330/3136, numerators are 1400,1330
Denominators are 961,3136
The GCF of 1400,1330 is 70 .
LCM of 961,3136 is 3013696.
The greatest common factor of 1400/961,1330/3136 = [GCF of 1400,1330]/[LCM of 961,3136]= 70/3013696
Therefore, the GCF of 1400/961,1330/3136 is 70/3013696.
To find the highest common factor of 1400,1330, we have to find the factors of both numbers and list the highest common factor.
The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
The HCF of 1400,1330 is 70.
Lets's calculate GCF of 1400,1330
| 2 | 1400, 1330 |
| 5 | 700, 665 |
| 7 | 140, 133 |
| 20, 19 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 1400,1330 By Matching Biggest Common Factor Method
Now, list down the factors of 1400
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Now, list down the factors of 1330
:1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Greatest Common Factor
We found the factors 1400,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 1400,1330 is 70.
Lets's calculate LCM of 961,3136
Given numbers has no common factors except 1. So, there LCM is their product i.e 3013696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/3013696
Therefore, the GCF of Fractions 1400/961,1330/3136 is 70/3013696
Least Common Multiple of 961,3136 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 961,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,3136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,3136) x common factors =1 x 1 = 1
LCM(961,3136) = ( 961 × 3136 ) / 1
LCM(961,3136) = 3013696 / 1
LCM(961,3136) = 3013696
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FAQs on GCF of Fractions of 1400/961, 1330/3136
1. What is the HCF of 1400,1330?
The HCF of 1400,1330 is 70
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 1400/961, 1330/3136?
Answer: GCF of Numerators as per given numbers 1400/961, 1330/3136 is
GCF of Numerators i.e. for 1400,1330 is 70
LCM of denominators i.e. for 961,3136 is 3013696.
Thus, GCF of Fractions is 70/3013696.Finally, GCF of Fractions for 1400/961, 1330/3136 is 70/3013696.