GCF of 2518/689, 3478/7052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2518/689, 3478/7052 i.e 2/4858828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2518/689, 3478/7052.
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 2518/689,3478/7052?
Given fractions are 2518/689,3478/7052
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 2518/689,3478/7052, numerators are 2518,3478
Denominators are 689,7052
The GCF of 2518,3478 is 2 .
LCM of 689,7052 is 4858828.
The greatest common factor of 2518/689,3478/7052 = [GCF of 2518,3478]/[LCM of 689,7052]= 2/4858828
Therefore, the GCF of 2518/689,3478/7052 is 2/4858828.
To find the highest common factor of 2518,3478, we have to find the factors of both numbers and list the highest common factor.
The factors of 2518 are 1, 2, 1259, 2518
The factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478
The HCF of 2518,3478 is 2.
Lets's calculate GCF of 2518,3478
| 2 | 2518, 3478 |
| 1259, 1739 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2518,3478 By Matching Biggest Common Factor Method
Now, list down the factors of 2518
:1,2,1259,2518
Now, list down the factors of 3478
:1,2,37,47,74,94,1739,3478
Greatest Common Factor
We found the factors 2518,3478 . The biggest common factor number is the GCF number.
So the greatest common factor 2518,3478 is 2.
Lets's calculate LCM of 689,7052
Given numbers has no common factors except 1. So, there LCM is their product i.e 4858828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4858828
Therefore, the GCF of Fractions 2518/689,3478/7052 is 2/4858828
Least Common Multiple of 689,7052 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 689,7052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,7052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,7052) x common factors =1 x 1 = 1
LCM(689,7052) = ( 689 × 7052 ) / 1
LCM(689,7052) = 4858828 / 1
LCM(689,7052) = 4858828
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FAQs on GCF of Fractions of 2518/689, 3478/7052
1. What is the HCF of 2518,3478?
The HCF of 2518,3478 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 2518/689, 3478/7052?
Answer: GCF of Numerators as per given numbers 2518/689, 3478/7052 is
GCF of Numerators i.e. for 2518,3478 is 2
LCM of denominators i.e. for 689,7052 is 4858828.
Thus, GCF of Fractions is 2/4858828.Finally, GCF of Fractions for 2518/689, 3478/7052 is 2/4858828.