GCF of 1460/820, 7910/3148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1460/820, 7910/3148 i.e 10/645340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1460/820, 7910/3148.
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 1460/820,7910/3148?
Given fractions are 1460/820,7910/3148
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 1460/820,7910/3148, numerators are 1460,7910
Denominators are 820,3148
The GCF of 1460,7910 is 10 .
LCM of 820,3148 is 645340.
The greatest common factor of 1460/820,7910/3148 = [GCF of 1460,7910]/[LCM of 820,3148]= 10/645340
Therefore, the GCF of 1460/820,7910/3148 is 10/645340.
To find the highest common factor of 1460,7910, we have to find the factors of both numbers and list the highest common factor.
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
The factors of 7910 are 1, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955, 7910
The HCF of 1460,7910 is 10.
Lets's calculate GCF of 1460,7910
| 2 | 1460, 7910 |
| 5 | 730, 3955 |
| 146, 791 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1460,7910 By Matching Biggest Common Factor Method
Now, list down the factors of 1460
:1,2,4,5,10,20,73,146,292,365,730,1460
Now, list down the factors of 7910
:1,2,5,7,10,14,35,70,113,226,565,791,1130,1582,3955,7910
Greatest Common Factor
We found the factors 1460,7910 . The biggest common factor number is the GCF number.
So the greatest common factor 1460,7910 is 10.
Lets's calculate LCM of 820,3148
| 2 | 820, 3148 |
| 2 | 410, 1574 |
| 205, 787 |
∴ So the LCM of the given numbers is 2 x 2 x 205 x 787 = 645340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/645340
Therefore, the GCF of Fractions 1460/820,7910/3148 is 10/645340
Least Common Multiple of 820,3148 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 820,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,3148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(820,3148) x common factors =4 x 1 = 4
LCM(820,3148) = ( 820 × 3148 ) / 4
LCM(820,3148) = 2581360 / 4
LCM(820,3148) = 645340
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FAQs on GCF of Fractions of 1460/820, 7910/3148
1. What is the HCF of 1460,7910?
The HCF of 1460,7910 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 1460/820, 7910/3148?
Answer: GCF of Numerators as per given numbers 1460/820, 7910/3148 is
GCF of Numerators i.e. for 1460,7910 is 10
LCM of denominators i.e. for 820,3148 is 645340.
Thus, GCF of Fractions is 10/645340.Finally, GCF of Fractions for 1460/820, 7910/3148 is 10/645340.