GCF of 4358/148, 1682/9574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4358/148, 1682/9574 i.e 2/708476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4358/148, 1682/9574.
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 4358/148,1682/9574?
Given fractions are 4358/148,1682/9574
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 4358/148,1682/9574, numerators are 4358,1682
Denominators are 148,9574
The GCF of 4358,1682 is 2 .
LCM of 148,9574 is 708476.
The greatest common factor of 4358/148,1682/9574 = [GCF of 4358,1682]/[LCM of 148,9574]= 2/708476
Therefore, the GCF of 4358/148,1682/9574 is 2/708476.
To find the highest common factor of 4358,1682, we have to find the factors of both numbers and list the highest common factor.
The factors of 4358 are 1, 2, 2179, 4358
The factors of 1682 are 1, 2, 29, 58, 841, 1682
The HCF of 4358,1682 is 2.
Lets's calculate GCF of 4358,1682
| 2 | 4358, 1682 |
| 2179, 841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4358,1682 By Matching Biggest Common Factor Method
Now, list down the factors of 4358
:1,2,2179,4358
Now, list down the factors of 1682
:1,2,29,58,841,1682
Greatest Common Factor
We found the factors 4358,1682 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,1682 is 2.
Lets's calculate LCM of 148,9574
| 2 | 148, 9574 |
| 74, 4787 |
∴ So the LCM of the given numbers is 2 x 74 x 4787 = 708476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/708476
Therefore, the GCF of Fractions 4358/148,1682/9574 is 2/708476
Least Common Multiple of 148,9574 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 148,9574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,9574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,9574) x common factors =2 x 1 = 2
LCM(148,9574) = ( 148 × 9574 ) / 2
LCM(148,9574) = 1416952 / 2
LCM(148,9574) = 708476
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FAQs on GCF of Fractions of 4358/148, 1682/9574
1. What is the HCF of 4358,1682?
The HCF of 4358,1682 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 4358/148, 1682/9574?
Answer: GCF of Numerators as per given numbers 4358/148, 1682/9574 is
GCF of Numerators i.e. for 4358,1682 is 2
LCM of denominators i.e. for 148,9574 is 708476.
Thus, GCF of Fractions is 2/708476.Finally, GCF of Fractions for 4358/148, 1682/9574 is 2/708476.