GCF of 1124/809, 5206/7597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1124/809, 5206/7597 i.e 2/6145973 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1124/809, 5206/7597.
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 1124/809,5206/7597?
Given fractions are 1124/809,5206/7597
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 1124/809,5206/7597, numerators are 1124,5206
Denominators are 809,7597
The GCF of 1124,5206 is 2 .
LCM of 809,7597 is 6145973.
The greatest common factor of 1124/809,5206/7597 = [GCF of 1124,5206]/[LCM of 809,7597]= 2/6145973
Therefore, the GCF of 1124/809,5206/7597 is 2/6145973.
To find the highest common factor of 1124,5206, we have to find the factors of both numbers and list the highest common factor.
The factors of 1124 are 1, 2, 4, 281, 562, 1124
The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206
The HCF of 1124,5206 is 2.
Lets's calculate GCF of 1124,5206
| 2 | 1124, 5206 |
| 562, 2603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1124,5206 By Matching Biggest Common Factor Method
Now, list down the factors of 1124
:1,2,4,281,562,1124
Now, list down the factors of 5206
:1,2,19,38,137,274,2603,5206
Greatest Common Factor
We found the factors 1124,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 1124,5206 is 2.
Lets's calculate LCM of 809,7597
Given numbers has no common factors except 1. So, there LCM is their product i.e 6145973
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6145973
Therefore, the GCF of Fractions 1124/809,5206/7597 is 2/6145973
Least Common Multiple of 809,7597 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 809,7597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,7597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,7597) x common factors =1 x 1 = 1
LCM(809,7597) = ( 809 × 7597 ) / 1
LCM(809,7597) = 6145973 / 1
LCM(809,7597) = 6145973
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FAQs on GCF of Fractions of 1124/809, 5206/7597
1. What is the HCF of 1124,5206?
The HCF of 1124,5206 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 1124/809, 5206/7597?
Answer: GCF of Numerators as per given numbers 1124/809, 5206/7597 is
GCF of Numerators i.e. for 1124,5206 is 2
LCM of denominators i.e. for 809,7597 is 6145973.
Thus, GCF of Fractions is 2/6145973.Finally, GCF of Fractions for 1124/809, 5206/7597 is 2/6145973.