GCF of 6608/692, 7316/3675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6608/692, 7316/3675 i.e 236/2543100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6608/692, 7316/3675.
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 6608/692,7316/3675?
Given fractions are 6608/692,7316/3675
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 6608/692,7316/3675, numerators are 6608,7316
Denominators are 692,3675
The GCF of 6608,7316 is 236 .
LCM of 692,3675 is 2543100.
The greatest common factor of 6608/692,7316/3675 = [GCF of 6608,7316]/[LCM of 692,3675]= 236/2543100
Therefore, the GCF of 6608/692,7316/3675 is 236/2543100.
To find the highest common factor of 6608,7316, we have to find the factors of both numbers and list the highest common factor.
The factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 6608,7316 is 236.
Lets's calculate GCF of 6608,7316
| 2 | 6608, 7316 |
| 2 | 3304, 3658 |
| 59 | 1652, 1829 |
| 28, 31 |
∴ So the GCF of the given numbers is 2 x 2 x 59 = 236
Greatest Common Factor of 6608,7316 By Matching Biggest Common Factor Method
Now, list down the factors of 6608
:1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 6608,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 6608,7316 is 236.
Lets's calculate LCM of 692,3675
Given numbers has no common factors except 1. So, there LCM is their product i.e 2543100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 236/2543100
Therefore, the GCF of Fractions 6608/692,7316/3675 is 236/2543100
Least Common Multiple of 692,3675 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 692,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,3675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,3675) x common factors =1 x 1 = 1
LCM(692,3675) = ( 692 × 3675 ) / 1
LCM(692,3675) = 2543100 / 1
LCM(692,3675) = 2543100
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FAQs on GCF of Fractions of 6608/692, 7316/3675
1. What is the HCF of 6608,7316?
The HCF of 6608,7316 is 236
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 6608/692, 7316/3675?
Answer: GCF of Numerators as per given numbers 6608/692, 7316/3675 is
GCF of Numerators i.e. for 6608,7316 is 236
LCM of denominators i.e. for 692,3675 is 2543100.
Thus, GCF of Fractions is 236/2543100.Finally, GCF of Fractions for 6608/692, 7316/3675 is 236/2543100.