GCF of 1772/620, 2562/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1772/620, 2562/414 i.e 2/128340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1772/620, 2562/414.
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 1772/620,2562/414?
Given fractions are 1772/620,2562/414
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 1772/620,2562/414, numerators are 1772,2562
Denominators are 620,414
The GCF of 1772,2562 is 2 .
LCM of 620,414 is 128340.
The greatest common factor of 1772/620,2562/414 = [GCF of 1772,2562]/[LCM of 620,414]= 2/128340
Therefore, the GCF of 1772/620,2562/414 is 2/128340.
To find the highest common factor of 1772,2562, we have to find the factors of both numbers and list the highest common factor.
The factors of 1772 are 1, 2, 4, 443, 886, 1772
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The HCF of 1772,2562 is 2.
Lets's calculate GCF of 1772,2562
| 2 | 1772, 2562 |
| 886, 1281 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1772,2562 By Matching Biggest Common Factor Method
Now, list down the factors of 1772
:1,2,4,443,886,1772
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 1772,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 1772,2562 is 2.
Lets's calculate LCM of 620,414
| 2 | 620, 414 |
| 310, 207 |
∴ So the LCM of the given numbers is 2 x 310 x 207 = 128340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128340
Therefore, the GCF of Fractions 1772/620,2562/414 is 2/128340
Least Common Multiple of 620,414 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 620,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(620,414) x common factors =2 x 1 = 2
LCM(620,414) = ( 620 × 414 ) / 2
LCM(620,414) = 256680 / 2
LCM(620,414) = 128340
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FAQs on GCF of Fractions of 1772/620, 2562/414
1. What is the HCF of 1772,2562?
The HCF of 1772,2562 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 1772/620, 2562/414?
Answer: GCF of Numerators as per given numbers 1772/620, 2562/414 is
GCF of Numerators i.e. for 1772,2562 is 2
LCM of denominators i.e. for 620,414 is 128340.
Thus, GCF of Fractions is 2/128340.Finally, GCF of Fractions for 1772/620, 2562/414 is 2/128340.