GCF of 1401/508, 8480/1894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1401/508, 8480/1894 i.e 1/481076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1401/508, 8480/1894.
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 1401/508,8480/1894?
Given fractions are 1401/508,8480/1894
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 1401/508,8480/1894, numerators are 1401,8480
Denominators are 508,1894
The GCF of 1401,8480 is 1 .
LCM of 508,1894 is 481076.
The greatest common factor of 1401/508,8480/1894 = [GCF of 1401,8480]/[LCM of 508,1894]= 1/481076
Therefore, the GCF of 1401/508,8480/1894 is 1/481076.
To find the highest common factor of 1401,8480, we have to find the factors of both numbers and list the highest common factor.
The factors of 1401 are 1, 3, 467, 1401
The factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480
The HCF of 1401,8480 is 1.
Lets's calculate GCF of 1401,8480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1401,8480 By Matching Biggest Common Factor Method
Now, list down the factors of 1401
:1,3,467,1401
Now, list down the factors of 8480
:1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Greatest Common Factor
We found the factors 1401,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 1401,8480 is 1.
Lets's calculate LCM of 508,1894
| 2 | 508, 1894 |
| 254, 947 |
∴ So the LCM of the given numbers is 2 x 254 x 947 = 481076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481076
Therefore, the GCF of Fractions 1401/508,8480/1894 is 1/481076
Least Common Multiple of 508,1894 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 508,1894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,1894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,1894) x common factors =2 x 1 = 2
LCM(508,1894) = ( 508 × 1894 ) / 2
LCM(508,1894) = 962152 / 2
LCM(508,1894) = 481076
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FAQs on GCF of Fractions of 1401/508, 8480/1894
1. What is the HCF of 1401,8480?
The HCF of 1401,8480 is 1
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 1401/508, 8480/1894?
Answer: GCF of Numerators as per given numbers 1401/508, 8480/1894 is
GCF of Numerators i.e. for 1401,8480 is 1
LCM of denominators i.e. for 508,1894 is 481076.
Thus, GCF of Fractions is 1/481076.Finally, GCF of Fractions for 1401/508, 8480/1894 is 1/481076.