GCF of 2380/130, 7719/8038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2380/130, 7719/8038 i.e 1/522470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2380/130, 7719/8038.
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 2380/130,7719/8038?
Given fractions are 2380/130,7719/8038
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 2380/130,7719/8038, numerators are 2380,7719
Denominators are 130,8038
The GCF of 2380,7719 is 1 .
LCM of 130,8038 is 522470.
The greatest common factor of 2380/130,7719/8038 = [GCF of 2380,7719]/[LCM of 130,8038]= 1/522470
Therefore, the GCF of 2380/130,7719/8038 is 1/522470.
To find the highest common factor of 2380,7719, we have to find the factors of both numbers and list the highest common factor.
The factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The HCF of 2380,7719 is 1.
Lets's calculate GCF of 2380,7719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2380,7719 By Matching Biggest Common Factor Method
Now, list down the factors of 2380
:1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Greatest Common Factor
We found the factors 2380,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 2380,7719 is 1.
Lets's calculate LCM of 130,8038
| 2 | 130, 8038 |
| 65, 4019 |
∴ So the LCM of the given numbers is 2 x 65 x 4019 = 522470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522470
Therefore, the GCF of Fractions 2380/130,7719/8038 is 1/522470
Least Common Multiple of 130,8038 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 130,8038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,8038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,8038) x common factors =2 x 1 = 2
LCM(130,8038) = ( 130 × 8038 ) / 2
LCM(130,8038) = 1044940 / 2
LCM(130,8038) = 522470
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FAQs on GCF of Fractions of 2380/130, 7719/8038
1. What is the HCF of 2380,7719?
The HCF of 2380,7719 is 1
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 2380/130, 7719/8038?
Answer: GCF of Numerators as per given numbers 2380/130, 7719/8038 is
GCF of Numerators i.e. for 2380,7719 is 1
LCM of denominators i.e. for 130,8038 is 522470.
Thus, GCF of Fractions is 1/522470.Finally, GCF of Fractions for 2380/130, 7719/8038 is 1/522470.