GCF of 4968/706, 2545/3436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/706, 2545/3436 i.e 1/1212908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/706, 2545/3436.
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 4968/706,2545/3436?
Given fractions are 4968/706,2545/3436
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 4968/706,2545/3436, numerators are 4968,2545
Denominators are 706,3436
The GCF of 4968,2545 is 1 .
LCM of 706,3436 is 1212908.
The greatest common factor of 4968/706,2545/3436 = [GCF of 4968,2545]/[LCM of 706,3436]= 1/1212908
Therefore, the GCF of 4968/706,2545/3436 is 1/1212908.
To find the highest common factor of 4968,2545, we have to find the factors of both numbers and list the highest common factor.
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968
The factors of 2545 are 1, 5, 509, 2545
The HCF of 4968,2545 is 1.
Lets's calculate GCF of 4968,2545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4968,2545 By Matching Biggest Common Factor Method
Now, list down the factors of 4968
:1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Now, list down the factors of 2545
:1,5,509,2545
Greatest Common Factor
We found the factors 4968,2545 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,2545 is 1.
Lets's calculate LCM of 706,3436
| 2 | 706, 3436 |
| 353, 1718 |
∴ So the LCM of the given numbers is 2 x 353 x 1718 = 1212908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1212908
Therefore, the GCF of Fractions 4968/706,2545/3436 is 1/1212908
Least Common Multiple of 706,3436 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 706,3436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,3436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,3436) x common factors =2 x 1 = 2
LCM(706,3436) = ( 706 × 3436 ) / 2
LCM(706,3436) = 2425816 / 2
LCM(706,3436) = 1212908
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FAQs on GCF of Fractions of 4968/706, 2545/3436
1. What is the HCF of 4968,2545?
The HCF of 4968,2545 is 1
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 4968/706, 2545/3436?
Answer: GCF of Numerators as per given numbers 4968/706, 2545/3436 is
GCF of Numerators i.e. for 4968,2545 is 1
LCM of denominators i.e. for 706,3436 is 1212908.
Thus, GCF of Fractions is 1/1212908.Finally, GCF of Fractions for 4968/706, 2545/3436 is 1/1212908.