GCF of 7440/271, 7970/7082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7440/271, 7970/7082 i.e 10/1919222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7440/271, 7970/7082.
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 7440/271,7970/7082?
Given fractions are 7440/271,7970/7082
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 7440/271,7970/7082, numerators are 7440,7970
Denominators are 271,7082
The GCF of 7440,7970 is 10 .
LCM of 271,7082 is 1919222.
The greatest common factor of 7440/271,7970/7082 = [GCF of 7440,7970]/[LCM of 271,7082]= 10/1919222
Therefore, the GCF of 7440/271,7970/7082 is 10/1919222.
To find the highest common factor of 7440,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 7440,7970 is 10.
Lets's calculate GCF of 7440,7970
| 2 | 7440, 7970 |
| 5 | 3720, 3985 |
| 744, 797 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7440,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 7440,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 7440,7970 is 10.
Lets's calculate LCM of 271,7082
Given numbers has no common factors except 1. So, there LCM is their product i.e 1919222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1919222
Therefore, the GCF of Fractions 7440/271,7970/7082 is 10/1919222
Least Common Multiple of 271,7082 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 271,7082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,7082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,7082) x common factors =1 x 1 = 1
LCM(271,7082) = ( 271 × 7082 ) / 1
LCM(271,7082) = 1919222 / 1
LCM(271,7082) = 1919222
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FAQs on GCF of Fractions of 7440/271, 7970/7082
1. What is the HCF of 7440,7970?
The HCF of 7440,7970 is 10
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 7440/271, 7970/7082?
Answer: GCF of Numerators as per given numbers 7440/271, 7970/7082 is
GCF of Numerators i.e. for 7440,7970 is 10
LCM of denominators i.e. for 271,7082 is 1919222.
Thus, GCF of Fractions is 10/1919222.Finally, GCF of Fractions for 7440/271, 7970/7082 is 10/1919222.