GCF of 2474/514, 8532/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2474/514, 8532/540 i.e 2/138780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2474/514, 8532/540.
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 2474/514,8532/540?
Given fractions are 2474/514,8532/540
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 2474/514,8532/540, numerators are 2474,8532
Denominators are 514,540
The GCF of 2474,8532 is 2 .
LCM of 514,540 is 138780.
The greatest common factor of 2474/514,8532/540 = [GCF of 2474,8532]/[LCM of 514,540]= 2/138780
Therefore, the GCF of 2474/514,8532/540 is 2/138780.
To find the highest common factor of 2474,8532, we have to find the factors of both numbers and list the highest common factor.
The factors of 2474 are 1, 2, 1237, 2474
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The HCF of 2474,8532 is 2.
Lets's calculate GCF of 2474,8532
| 2 | 2474, 8532 |
| 1237, 4266 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2474,8532 By Matching Biggest Common Factor Method
Now, list down the factors of 2474
:1,2,1237,2474
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Greatest Common Factor
We found the factors 2474,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 2474,8532 is 2.
Lets's calculate LCM of 514,540
| 2 | 514, 540 |
| 257, 270 |
∴ So the LCM of the given numbers is 2 x 257 x 270 = 138780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138780
Therefore, the GCF of Fractions 2474/514,8532/540 is 2/138780
Least Common Multiple of 514,540 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 514,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,540) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,540) x common factors =2 x 1 = 2
LCM(514,540) = ( 514 × 540 ) / 2
LCM(514,540) = 277560 / 2
LCM(514,540) = 138780
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FAQs on GCF of Fractions of 2474/514, 8532/540
1. What is the HCF of 2474,8532?
The HCF of 2474,8532 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 2474/514, 8532/540?
Answer: GCF of Numerators as per given numbers 2474/514, 8532/540 is
GCF of Numerators i.e. for 2474,8532 is 2
LCM of denominators i.e. for 514,540 is 138780.
Thus, GCF of Fractions is 2/138780.Finally, GCF of Fractions for 2474/514, 8532/540 is 2/138780.