GCF of 5602/505, 5460/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5602/505, 5460/634 i.e 2/320170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5602/505, 5460/634.
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 5602/505,5460/634?
Given fractions are 5602/505,5460/634
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 5602/505,5460/634, numerators are 5602,5460
Denominators are 505,634
The GCF of 5602,5460 is 2 .
LCM of 505,634 is 320170.
The greatest common factor of 5602/505,5460/634 = [GCF of 5602,5460]/[LCM of 505,634]= 2/320170
Therefore, the GCF of 5602/505,5460/634 is 2/320170.
To find the highest common factor of 5602,5460, we have to find the factors of both numbers and list the highest common factor.
The factors of 5602 are 1, 2, 2801, 5602
The factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460
The HCF of 5602,5460 is 2.
Lets's calculate GCF of 5602,5460
| 2 | 5602, 5460 |
| 2801, 2730 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5602,5460 By Matching Biggest Common Factor Method
Now, list down the factors of 5602
:1,2,2801,5602
Now, list down the factors of 5460
:1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460
Greatest Common Factor
We found the factors 5602,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 5602,5460 is 2.
Lets's calculate LCM of 505,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 320170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/320170
Therefore, the GCF of Fractions 5602/505,5460/634 is 2/320170
Least Common Multiple of 505,634 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 505,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,634) x common factors =1 x 1 = 1
LCM(505,634) = ( 505 × 634 ) / 1
LCM(505,634) = 320170 / 1
LCM(505,634) = 320170
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FAQs on GCF of Fractions of 5602/505, 5460/634
1. What is the HCF of 5602,5460?
The HCF of 5602,5460 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 5602/505, 5460/634?
Answer: GCF of Numerators as per given numbers 5602/505, 5460/634 is
GCF of Numerators i.e. for 5602,5460 is 2
LCM of denominators i.e. for 505,634 is 320170.
Thus, GCF of Fractions is 2/320170.Finally, GCF of Fractions for 5602/505, 5460/634 is 2/320170.