GCF of 3749/770, 6932/8505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3749/770, 6932/8505 i.e 1/187110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3749/770, 6932/8505.
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 3749/770,6932/8505?
Given fractions are 3749/770,6932/8505
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 3749/770,6932/8505, numerators are 3749,6932
Denominators are 770,8505
The GCF of 3749,6932 is 1 .
LCM of 770,8505 is 187110.
The greatest common factor of 3749/770,6932/8505 = [GCF of 3749,6932]/[LCM of 770,8505]= 1/187110
Therefore, the GCF of 3749/770,6932/8505 is 1/187110.
To find the highest common factor of 3749,6932, we have to find the factors of both numbers and list the highest common factor.
The factors of 3749 are 1, 23, 163, 3749
The factors of 6932 are 1, 2, 4, 1733, 3466, 6932
The HCF of 3749,6932 is 1.
Lets's calculate GCF of 3749,6932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3749,6932 By Matching Biggest Common Factor Method
Now, list down the factors of 3749
:1,23,163,3749
Now, list down the factors of 6932
:1,2,4,1733,3466,6932
Greatest Common Factor
We found the factors 3749,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 3749,6932 is 1.
Lets's calculate LCM of 770,8505
| 5 | 770, 8505 |
| 7 | 154, 1701 |
| 22, 243 |
∴ So the LCM of the given numbers is 5 x 7 x 22 x 243 = 187110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187110
Therefore, the GCF of Fractions 3749/770,6932/8505 is 1/187110
Least Common Multiple of 770,8505 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 770,8505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,8505) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(770,8505) x common factors =35 x 1 = 35
LCM(770,8505) = ( 770 × 8505 ) / 35
LCM(770,8505) = 6548850 / 35
LCM(770,8505) = 187110
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FAQs on GCF of Fractions of 3749/770, 6932/8505
1. What is the HCF of 3749,6932?
The HCF of 3749,6932 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 3749/770, 6932/8505?
Answer: GCF of Numerators as per given numbers 3749/770, 6932/8505 is
GCF of Numerators i.e. for 3749,6932 is 1
LCM of denominators i.e. for 770,8505 is 187110.
Thus, GCF of Fractions is 1/187110.Finally, GCF of Fractions for 3749/770, 6932/8505 is 1/187110.