GCF of 950/812, 2142/7490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 950/812, 2142/7490 i.e 2/434420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/812, 2142/7490.
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 950/812,2142/7490?
Given fractions are 950/812,2142/7490
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 950/812,2142/7490, numerators are 950,2142
Denominators are 812,7490
The GCF of 950,2142 is 2 .
LCM of 812,7490 is 434420.
The greatest common factor of 950/812,2142/7490 = [GCF of 950,2142]/[LCM of 812,7490]= 2/434420
Therefore, the GCF of 950/812,2142/7490 is 2/434420.
To find the highest common factor of 950,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 950,2142 is 2.
Lets's calculate GCF of 950,2142
| 2 | 950, 2142 |
| 475, 1071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 950,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 950,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 950,2142 is 2.
Lets's calculate LCM of 812,7490
| 2 | 812, 7490 |
| 7 | 406, 3745 |
| 58, 535 |
∴ So the LCM of the given numbers is 2 x 7 x 58 x 535 = 434420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/434420
Therefore, the GCF of Fractions 950/812,2142/7490 is 2/434420
Least Common Multiple of 812,7490 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 812,7490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,7490) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(812,7490) x common factors =14 x 1 = 14
LCM(812,7490) = ( 812 × 7490 ) / 14
LCM(812,7490) = 6081880 / 14
LCM(812,7490) = 434420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 950/812, 2142/7490
1. What is the HCF of 950,2142?
The HCF of 950,2142 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 950/812, 2142/7490?
Answer: GCF of Numerators as per given numbers 950/812, 2142/7490 is
GCF of Numerators i.e. for 950,2142 is 2
LCM of denominators i.e. for 812,7490 is 434420.
Thus, GCF of Fractions is 2/434420.Finally, GCF of Fractions for 950/812, 2142/7490 is 2/434420.