GCF of 7140/228, 3520/955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7140/228, 3520/955 i.e 20/217740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7140/228, 3520/955.
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 7140/228,3520/955?
Given fractions are 7140/228,3520/955
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 7140/228,3520/955, numerators are 7140,3520
Denominators are 228,955
The GCF of 7140,3520 is 20 .
LCM of 228,955 is 217740.
The greatest common factor of 7140/228,3520/955 = [GCF of 7140,3520]/[LCM of 228,955]= 20/217740
Therefore, the GCF of 7140/228,3520/955 is 20/217740.
To find the highest common factor of 7140,3520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140
The factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520
The HCF of 7140,3520 is 20.
Lets's calculate GCF of 7140,3520
| 2 | 7140, 3520 |
| 2 | 3570, 1760 |
| 5 | 1785, 880 |
| 357, 176 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 7140,3520 By Matching Biggest Common Factor Method
Now, list down the factors of 7140
:1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140
Now, list down the factors of 3520
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520
Greatest Common Factor
We found the factors 7140,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 7140,3520 is 20.
Lets's calculate LCM of 228,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 217740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/217740
Therefore, the GCF of Fractions 7140/228,3520/955 is 20/217740
Least Common Multiple of 228,955 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 228,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,955) x common factors =1 x 1 = 1
LCM(228,955) = ( 228 × 955 ) / 1
LCM(228,955) = 217740 / 1
LCM(228,955) = 217740
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FAQs on GCF of Fractions of 7140/228, 3520/955
1. What is the HCF of 7140,3520?
The HCF of 7140,3520 is 20
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 7140/228, 3520/955?
Answer: GCF of Numerators as per given numbers 7140/228, 3520/955 is
GCF of Numerators i.e. for 7140,3520 is 20
LCM of denominators i.e. for 228,955 is 217740.
Thus, GCF of Fractions is 20/217740.Finally, GCF of Fractions for 7140/228, 3520/955 is 20/217740.