GCF of 1364/520, 9716/8152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1364/520, 9716/8152 i.e 4/529880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1364/520, 9716/8152.
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 1364/520,9716/8152?
Given fractions are 1364/520,9716/8152
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 1364/520,9716/8152, numerators are 1364,9716
Denominators are 520,8152
The GCF of 1364,9716 is 4 .
LCM of 520,8152 is 529880.
The greatest common factor of 1364/520,9716/8152 = [GCF of 1364,9716]/[LCM of 520,8152]= 4/529880
Therefore, the GCF of 1364/520,9716/8152 is 4/529880.
To find the highest common factor of 1364,9716, we have to find the factors of both numbers and list the highest common factor.
The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364
The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716
The HCF of 1364,9716 is 4.
Lets's calculate GCF of 1364,9716
| 2 | 1364, 9716 |
| 2 | 682, 4858 |
| 341, 2429 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1364,9716 By Matching Biggest Common Factor Method
Now, list down the factors of 1364
:1,2,4,11,22,31,44,62,124,341,682,1364
Now, list down the factors of 9716
:1,2,4,7,14,28,347,694,1388,2429,4858,9716
Greatest Common Factor
We found the factors 1364,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 1364,9716 is 4.
Lets's calculate LCM of 520,8152
| 2 | 520, 8152 |
| 2 | 260, 4076 |
| 2 | 130, 2038 |
| 65, 1019 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 1019 = 529880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/529880
Therefore, the GCF of Fractions 1364/520,9716/8152 is 4/529880
Least Common Multiple of 520,8152 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 520,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,8152) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(520,8152) x common factors =8 x 1 = 8
LCM(520,8152) = ( 520 × 8152 ) / 8
LCM(520,8152) = 4239040 / 8
LCM(520,8152) = 529880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1364/520, 9716/8152
1. What is the HCF of 1364,9716?
The HCF of 1364,9716 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 1364/520, 9716/8152?
Answer: GCF of Numerators as per given numbers 1364/520, 9716/8152 is
GCF of Numerators i.e. for 1364,9716 is 4
LCM of denominators i.e. for 520,8152 is 529880.
Thus, GCF of Fractions is 4/529880.Finally, GCF of Fractions for 1364/520, 9716/8152 is 4/529880.