GCF of 7109/676, 5880/3532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7109/676, 5880/3532 i.e 1/596908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7109/676, 5880/3532.
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 7109/676,5880/3532?
Given fractions are 7109/676,5880/3532
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 7109/676,5880/3532, numerators are 7109,5880
Denominators are 676,3532
The GCF of 7109,5880 is 1 .
LCM of 676,3532 is 596908.
The greatest common factor of 7109/676,5880/3532 = [GCF of 7109,5880]/[LCM of 676,3532]= 1/596908
Therefore, the GCF of 7109/676,5880/3532 is 1/596908.
To find the highest common factor of 7109,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 7109 are 1, 7109
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 7109,5880 is 1.
Lets's calculate GCF of 7109,5880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7109,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 7109
:1,7109
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 7109,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 7109,5880 is 1.
Lets's calculate LCM of 676,3532
| 2 | 676, 3532 |
| 2 | 338, 1766 |
| 169, 883 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 883 = 596908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596908
Therefore, the GCF of Fractions 7109/676,5880/3532 is 1/596908
Least Common Multiple of 676,3532 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 676,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,3532) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(676,3532) x common factors =4 x 1 = 4
LCM(676,3532) = ( 676 × 3532 ) / 4
LCM(676,3532) = 2387632 / 4
LCM(676,3532) = 596908
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FAQs on GCF of Fractions of 7109/676, 5880/3532
1. What is the HCF of 7109,5880?
The HCF of 7109,5880 is 1
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 7109/676, 5880/3532?
Answer: GCF of Numerators as per given numbers 7109/676, 5880/3532 is
GCF of Numerators i.e. for 7109,5880 is 1
LCM of denominators i.e. for 676,3532 is 596908.
Thus, GCF of Fractions is 1/596908.Finally, GCF of Fractions for 7109/676, 5880/3532 is 1/596908.