GCF of 3572/123, 9724/5753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3572/123, 9724/5753 i.e 4/707619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3572/123, 9724/5753.
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 3572/123,9724/5753?
Given fractions are 3572/123,9724/5753
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 3572/123,9724/5753, numerators are 3572,9724
Denominators are 123,5753
The GCF of 3572,9724 is 4 .
LCM of 123,5753 is 707619.
The greatest common factor of 3572/123,9724/5753 = [GCF of 3572,9724]/[LCM of 123,5753]= 4/707619
Therefore, the GCF of 3572/123,9724/5753 is 4/707619.
To find the highest common factor of 3572,9724, we have to find the factors of both numbers and list the highest common factor.
The factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724
The HCF of 3572,9724 is 4.
Lets's calculate GCF of 3572,9724
| 2 | 3572, 9724 |
| 2 | 1786, 4862 |
| 893, 2431 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3572,9724 By Matching Biggest Common Factor Method
Now, list down the factors of 3572
:1,2,4,19,38,47,76,94,188,893,1786,3572
Now, list down the factors of 9724
:1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Greatest Common Factor
We found the factors 3572,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 3572,9724 is 4.
Lets's calculate LCM of 123,5753
Given numbers has no common factors except 1. So, there LCM is their product i.e 707619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/707619
Therefore, the GCF of Fractions 3572/123,9724/5753 is 4/707619
Least Common Multiple of 123,5753 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 123,5753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5753) x common factors =1 x 1 = 1
LCM(123,5753) = ( 123 × 5753 ) / 1
LCM(123,5753) = 707619 / 1
LCM(123,5753) = 707619
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FAQs on GCF of Fractions of 3572/123, 9724/5753
1. What is the HCF of 3572,9724?
The HCF of 3572,9724 is 4
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 3572/123, 9724/5753?
Answer: GCF of Numerators as per given numbers 3572/123, 9724/5753 is
GCF of Numerators i.e. for 3572,9724 is 4
LCM of denominators i.e. for 123,5753 is 707619.
Thus, GCF of Fractions is 4/707619.Finally, GCF of Fractions for 3572/123, 9724/5753 is 4/707619.