GCF of 7488/220, 8362/7556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7488/220, 8362/7556 i.e 2/415580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7488/220, 8362/7556.
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 7488/220,8362/7556?
Given fractions are 7488/220,8362/7556
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 7488/220,8362/7556, numerators are 7488,8362
Denominators are 220,7556
The GCF of 7488,8362 is 2 .
LCM of 220,7556 is 415580.
The greatest common factor of 7488/220,8362/7556 = [GCF of 7488,8362]/[LCM of 220,7556]= 2/415580
Therefore, the GCF of 7488/220,8362/7556 is 2/415580.
To find the highest common factor of 7488,8362, we have to find the factors of both numbers and list the highest common factor.
The factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The HCF of 7488,8362 is 2.
Lets's calculate GCF of 7488,8362
| 2 | 7488, 8362 |
| 3744, 4181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7488,8362 By Matching Biggest Common Factor Method
Now, list down the factors of 7488
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Greatest Common Factor
We found the factors 7488,8362 . The biggest common factor number is the GCF number.
So the greatest common factor 7488,8362 is 2.
Lets's calculate LCM of 220,7556
| 2 | 220, 7556 |
| 2 | 110, 3778 |
| 55, 1889 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 1889 = 415580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/415580
Therefore, the GCF of Fractions 7488/220,8362/7556 is 2/415580
Least Common Multiple of 220,7556 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 220,7556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,7556) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,7556) x common factors =4 x 1 = 4
LCM(220,7556) = ( 220 × 7556 ) / 4
LCM(220,7556) = 1662320 / 4
LCM(220,7556) = 415580
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FAQs on GCF of Fractions of 7488/220, 8362/7556
1. What is the HCF of 7488,8362?
The HCF of 7488,8362 is 2
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 7488/220, 8362/7556?
Answer: GCF of Numerators as per given numbers 7488/220, 8362/7556 is
GCF of Numerators i.e. for 7488,8362 is 2
LCM of denominators i.e. for 220,7556 is 415580.
Thus, GCF of Fractions is 2/415580.Finally, GCF of Fractions for 7488/220, 8362/7556 is 2/415580.