GCF of 7018/380, 9100/7678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/380, 9100/7678 i.e 2/1458820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/380, 9100/7678.
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 7018/380,9100/7678?
Given fractions are 7018/380,9100/7678
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 7018/380,9100/7678, numerators are 7018,9100
Denominators are 380,7678
The GCF of 7018,9100 is 2 .
LCM of 380,7678 is 1458820.
The greatest common factor of 7018/380,9100/7678 = [GCF of 7018,9100]/[LCM of 380,7678]= 2/1458820
Therefore, the GCF of 7018/380,9100/7678 is 2/1458820.
To find the highest common factor of 7018,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 7018,9100 is 2.
Lets's calculate GCF of 7018,9100
| 2 | 7018, 9100 |
| 3509, 4550 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7018,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 7018
:1,2,11,22,29,58,121,242,319,638,3509,7018
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 7018,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,9100 is 2.
Lets's calculate LCM of 380,7678
| 2 | 380, 7678 |
| 190, 3839 |
∴ So the LCM of the given numbers is 2 x 190 x 3839 = 1458820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1458820
Therefore, the GCF of Fractions 7018/380,9100/7678 is 2/1458820
Least Common Multiple of 380,7678 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 380,7678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,7678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(380,7678) x common factors =2 x 1 = 2
LCM(380,7678) = ( 380 × 7678 ) / 2
LCM(380,7678) = 2917640 / 2
LCM(380,7678) = 1458820
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FAQs on GCF of Fractions of 7018/380, 9100/7678
1. What is the HCF of 7018,9100?
The HCF of 7018,9100 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 7018/380, 9100/7678?
Answer: GCF of Numerators as per given numbers 7018/380, 9100/7678 is
GCF of Numerators i.e. for 7018,9100 is 2
LCM of denominators i.e. for 380,7678 is 1458820.
Thus, GCF of Fractions is 2/1458820.Finally, GCF of Fractions for 7018/380, 9100/7678 is 2/1458820.