GCF of 3304/158, 9720/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3304/158, 9720/222 i.e 8/17538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3304/158, 9720/222.
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 3304/158,9720/222?
Given fractions are 3304/158,9720/222
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 3304/158,9720/222, numerators are 3304,9720
Denominators are 158,222
The GCF of 3304,9720 is 8 .
LCM of 158,222 is 17538.
The greatest common factor of 3304/158,9720/222 = [GCF of 3304,9720]/[LCM of 158,222]= 8/17538
Therefore, the GCF of 3304/158,9720/222 is 8/17538.
To find the highest common factor of 3304,9720, we have to find the factors of both numbers and list the highest common factor.
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304
The factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The HCF of 3304,9720 is 8.
Lets's calculate GCF of 3304,9720
| 2 | 3304, 9720 |
| 2 | 1652, 4860 |
| 2 | 826, 2430 |
| 413, 1215 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3304,9720 By Matching Biggest Common Factor Method
Now, list down the factors of 3304
:1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Now, list down the factors of 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 3304,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 3304,9720 is 8.
Lets's calculate LCM of 158,222
| 2 | 158, 222 |
| 79, 111 |
∴ So the LCM of the given numbers is 2 x 79 x 111 = 17538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/17538
Therefore, the GCF of Fractions 3304/158,9720/222 is 8/17538
Least Common Multiple of 158,222 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 158,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,222) x common factors =2 x 1 = 2
LCM(158,222) = ( 158 × 222 ) / 2
LCM(158,222) = 35076 / 2
LCM(158,222) = 17538
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FAQs on GCF of Fractions of 3304/158, 9720/222
1. What is the HCF of 3304,9720?
The HCF of 3304,9720 is 8
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 3304/158, 9720/222?
Answer: GCF of Numerators as per given numbers 3304/158, 9720/222 is
GCF of Numerators i.e. for 3304,9720 is 8
LCM of denominators i.e. for 158,222 is 17538.
Thus, GCF of Fractions is 8/17538.Finally, GCF of Fractions for 3304/158, 9720/222 is 8/17538.