GCF of 3545/623, 5688/8748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3545/623, 5688/8748 i.e 1/5450004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3545/623, 5688/8748.
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 3545/623,5688/8748?
Given fractions are 3545/623,5688/8748
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 3545/623,5688/8748, numerators are 3545,5688
Denominators are 623,8748
The GCF of 3545,5688 is 1 .
LCM of 623,8748 is 5450004.
The greatest common factor of 3545/623,5688/8748 = [GCF of 3545,5688]/[LCM of 623,8748]= 1/5450004
Therefore, the GCF of 3545/623,5688/8748 is 1/5450004.
To find the highest common factor of 3545,5688, we have to find the factors of both numbers and list the highest common factor.
The factors of 3545 are 1, 5, 709, 3545
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The HCF of 3545,5688 is 1.
Lets's calculate GCF of 3545,5688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3545,5688 By Matching Biggest Common Factor Method
Now, list down the factors of 3545
:1,5,709,3545
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 3545,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 3545,5688 is 1.
Lets's calculate LCM of 623,8748
Given numbers has no common factors except 1. So, there LCM is their product i.e 5450004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5450004
Therefore, the GCF of Fractions 3545/623,5688/8748 is 1/5450004
Least Common Multiple of 623,8748 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 623,8748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,8748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,8748) x common factors =1 x 1 = 1
LCM(623,8748) = ( 623 × 8748 ) / 1
LCM(623,8748) = 5450004 / 1
LCM(623,8748) = 5450004
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FAQs on GCF of Fractions of 3545/623, 5688/8748
1. What is the HCF of 3545,5688?
The HCF of 3545,5688 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 3545/623, 5688/8748?
Answer: GCF of Numerators as per given numbers 3545/623, 5688/8748 is
GCF of Numerators i.e. for 3545,5688 is 1
LCM of denominators i.e. for 623,8748 is 5450004.
Thus, GCF of Fractions is 1/5450004.Finally, GCF of Fractions for 3545/623, 5688/8748 is 1/5450004.