GCF of 7112/100, 5520/3995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7112/100, 5520/3995 i.e 8/79900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7112/100, 5520/3995.
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 7112/100,5520/3995?
Given fractions are 7112/100,5520/3995
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 7112/100,5520/3995, numerators are 7112,5520
Denominators are 100,3995
The GCF of 7112,5520 is 8 .
LCM of 100,3995 is 79900.
The greatest common factor of 7112/100,5520/3995 = [GCF of 7112,5520]/[LCM of 100,3995]= 8/79900
Therefore, the GCF of 7112/100,5520/3995 is 8/79900.
To find the highest common factor of 7112,5520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112
The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520
The HCF of 7112,5520 is 8.
Lets's calculate GCF of 7112,5520
| 2 | 7112, 5520 |
| 2 | 3556, 2760 |
| 2 | 1778, 1380 |
| 889, 690 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7112,5520 By Matching Biggest Common Factor Method
Now, list down the factors of 7112
:1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Now, list down the factors of 5520
:1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors 7112,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 7112,5520 is 8.
Lets's calculate LCM of 100,3995
| 5 | 100, 3995 |
| 20, 799 |
∴ So the LCM of the given numbers is 5 x 20 x 799 = 79900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/79900
Therefore, the GCF of Fractions 7112/100,5520/3995 is 8/79900
Least Common Multiple of 100,3995 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 100,3995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,3995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(100,3995) x common factors =5 x 1 = 5
LCM(100,3995) = ( 100 × 3995 ) / 5
LCM(100,3995) = 399500 / 5
LCM(100,3995) = 79900
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7112/100, 5520/3995
1. What is the HCF of 7112,5520?
The HCF of 7112,5520 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 7112/100, 5520/3995?
Answer: GCF of Numerators as per given numbers 7112/100, 5520/3995 is
GCF of Numerators i.e. for 7112,5520 is 8
LCM of denominators i.e. for 100,3995 is 79900.
Thus, GCF of Fractions is 8/79900.Finally, GCF of Fractions for 7112/100, 5520/3995 is 8/79900.