GCF of 2654/70, 7012/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2654/70, 7012/815 i.e 2/11410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2654/70, 7012/815.
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 2654/70,7012/815?
Given fractions are 2654/70,7012/815
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 2654/70,7012/815, numerators are 2654,7012
Denominators are 70,815
The GCF of 2654,7012 is 2 .
LCM of 70,815 is 11410.
The greatest common factor of 2654/70,7012/815 = [GCF of 2654,7012]/[LCM of 70,815]= 2/11410
Therefore, the GCF of 2654/70,7012/815 is 2/11410.
To find the highest common factor of 2654,7012, we have to find the factors of both numbers and list the highest common factor.
The factors of 2654 are 1, 2, 1327, 2654
The factors of 7012 are 1, 2, 4, 1753, 3506, 7012
The HCF of 2654,7012 is 2.
Lets's calculate GCF of 2654,7012
| 2 | 2654, 7012 |
| 1327, 3506 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2654,7012 By Matching Biggest Common Factor Method
Now, list down the factors of 2654
:1,2,1327,2654
Now, list down the factors of 7012
:1,2,4,1753,3506,7012
Greatest Common Factor
We found the factors 2654,7012 . The biggest common factor number is the GCF number.
So the greatest common factor 2654,7012 is 2.
Lets's calculate LCM of 70,815
| 5 | 70, 815 |
| 14, 163 |
∴ So the LCM of the given numbers is 5 x 14 x 163 = 11410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11410
Therefore, the GCF of Fractions 2654/70,7012/815 is 2/11410
Least Common Multiple of 70,815 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 70,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,815) x common factors =5 x 1 = 5
LCM(70,815) = ( 70 × 815 ) / 5
LCM(70,815) = 57050 / 5
LCM(70,815) = 11410
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FAQs on GCF of Fractions of 2654/70, 7012/815
1. What is the HCF of 2654,7012?
The HCF of 2654,7012 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 2654/70, 7012/815?
Answer: GCF of Numerators as per given numbers 2654/70, 7012/815 is
GCF of Numerators i.e. for 2654,7012 is 2
LCM of denominators i.e. for 70,815 is 11410.
Thus, GCF of Fractions is 2/11410.Finally, GCF of Fractions for 2654/70, 7012/815 is 2/11410.