GCF of 3530/546, 8292/1705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3530/546, 8292/1705 i.e 2/930930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3530/546, 8292/1705.
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 3530/546,8292/1705?
Given fractions are 3530/546,8292/1705
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 3530/546,8292/1705, numerators are 3530,8292
Denominators are 546,1705
The GCF of 3530,8292 is 2 .
LCM of 546,1705 is 930930.
The greatest common factor of 3530/546,8292/1705 = [GCF of 3530,8292]/[LCM of 546,1705]= 2/930930
Therefore, the GCF of 3530/546,8292/1705 is 2/930930.
To find the highest common factor of 3530,8292, we have to find the factors of both numbers and list the highest common factor.
The factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530
The factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292
The HCF of 3530,8292 is 2.
Lets's calculate GCF of 3530,8292
| 2 | 3530, 8292 |
| 1765, 4146 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3530,8292 By Matching Biggest Common Factor Method
Now, list down the factors of 3530
:1,2,5,10,353,706,1765,3530
Now, list down the factors of 8292
:1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Greatest Common Factor
We found the factors 3530,8292 . The biggest common factor number is the GCF number.
So the greatest common factor 3530,8292 is 2.
Lets's calculate LCM of 546,1705
Given numbers has no common factors except 1. So, there LCM is their product i.e 930930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/930930
Therefore, the GCF of Fractions 3530/546,8292/1705 is 2/930930
Least Common Multiple of 546,1705 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 546,1705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,1705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,1705) x common factors =1 x 1 = 1
LCM(546,1705) = ( 546 × 1705 ) / 1
LCM(546,1705) = 930930 / 1
LCM(546,1705) = 930930
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FAQs on GCF of Fractions of 3530/546, 8292/1705
1. What is the HCF of 3530,8292?
The HCF of 3530,8292 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 3530/546, 8292/1705?
Answer: GCF of Numerators as per given numbers 3530/546, 8292/1705 is
GCF of Numerators i.e. for 3530,8292 is 2
LCM of denominators i.e. for 546,1705 is 930930.
Thus, GCF of Fractions is 2/930930.Finally, GCF of Fractions for 3530/546, 8292/1705 is 2/930930.