GCF of 1078/725, 3586/6430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1078/725, 3586/6430 i.e 22/932350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1078/725, 3586/6430.
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 1078/725,3586/6430?
Given fractions are 1078/725,3586/6430
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 1078/725,3586/6430, numerators are 1078,3586
Denominators are 725,6430
The GCF of 1078,3586 is 22 .
LCM of 725,6430 is 932350.
The greatest common factor of 1078/725,3586/6430 = [GCF of 1078,3586]/[LCM of 725,6430]= 22/932350
Therefore, the GCF of 1078/725,3586/6430 is 22/932350.
To find the highest common factor of 1078,3586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078
The factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586
The HCF of 1078,3586 is 22.
Lets's calculate GCF of 1078,3586
| 2 | 1078, 3586 |
| 11 | 539, 1793 |
| 49, 163 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 1078,3586 By Matching Biggest Common Factor Method
Now, list down the factors of 1078
:1,2,7,11,14,22,49,77,98,154,539,1078
Now, list down the factors of 3586
:1,2,11,22,163,326,1793,3586
Greatest Common Factor
We found the factors 1078,3586 . The biggest common factor number is the GCF number.
So the greatest common factor 1078,3586 is 22.
Lets's calculate LCM of 725,6430
| 5 | 725, 6430 |
| 145, 1286 |
∴ So the LCM of the given numbers is 5 x 145 x 1286 = 932350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/932350
Therefore, the GCF of Fractions 1078/725,3586/6430 is 22/932350
Least Common Multiple of 725,6430 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 725,6430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,6430) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,6430) x common factors =5 x 1 = 5
LCM(725,6430) = ( 725 × 6430 ) / 5
LCM(725,6430) = 4661750 / 5
LCM(725,6430) = 932350
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FAQs on GCF of Fractions of 1078/725, 3586/6430
1. What is the HCF of 1078,3586?
The HCF of 1078,3586 is 22
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 1078/725, 3586/6430?
Answer: GCF of Numerators as per given numbers 1078/725, 3586/6430 is
GCF of Numerators i.e. for 1078,3586 is 22
LCM of denominators i.e. for 725,6430 is 932350.
Thus, GCF of Fractions is 22/932350.Finally, GCF of Fractions for 1078/725, 3586/6430 is 22/932350.