GCF of 2526/564, 3054/9712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2526/564, 3054/9712 i.e 6/1369392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2526/564, 3054/9712.
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 2526/564,3054/9712?
Given fractions are 2526/564,3054/9712
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 2526/564,3054/9712, numerators are 2526,3054
Denominators are 564,9712
The GCF of 2526,3054 is 6 .
LCM of 564,9712 is 1369392.
The greatest common factor of 2526/564,3054/9712 = [GCF of 2526,3054]/[LCM of 564,9712]= 6/1369392
Therefore, the GCF of 2526/564,3054/9712 is 6/1369392.
To find the highest common factor of 2526,3054, we have to find the factors of both numbers and list the highest common factor.
The factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526
The factors of 3054 are 1, 2, 3, 6, 509, 1018, 1527, 3054
The HCF of 2526,3054 is 6.
Lets's calculate GCF of 2526,3054
| 2 | 2526, 3054 |
| 3 | 1263, 1527 |
| 421, 509 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2526,3054 By Matching Biggest Common Factor Method
Now, list down the factors of 2526
:1,2,3,6,421,842,1263,2526
Now, list down the factors of 3054
:1,2,3,6,509,1018,1527,3054
Greatest Common Factor
We found the factors 2526,3054 . The biggest common factor number is the GCF number.
So the greatest common factor 2526,3054 is 6.
Lets's calculate LCM of 564,9712
| 2 | 564, 9712 |
| 2 | 282, 4856 |
| 141, 2428 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 2428 = 1369392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1369392
Therefore, the GCF of Fractions 2526/564,3054/9712 is 6/1369392
Least Common Multiple of 564,9712 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 564,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,9712) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,9712) x common factors =4 x 1 = 4
LCM(564,9712) = ( 564 × 9712 ) / 4
LCM(564,9712) = 5477568 / 4
LCM(564,9712) = 1369392
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FAQs on GCF of Fractions of 2526/564, 3054/9712
1. What is the HCF of 2526,3054?
The HCF of 2526,3054 is 6
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 2526/564, 3054/9712?
Answer: GCF of Numerators as per given numbers 2526/564, 3054/9712 is
GCF of Numerators i.e. for 2526,3054 is 6
LCM of denominators i.e. for 564,9712 is 1369392.
Thus, GCF of Fractions is 6/1369392.Finally, GCF of Fractions for 2526/564, 3054/9712 is 6/1369392.