GCF of 6707/762, 1785/6642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6707/762, 1785/6642 i.e 1/843534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6707/762, 1785/6642.
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 6707/762,1785/6642?
Given fractions are 6707/762,1785/6642
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 6707/762,1785/6642, numerators are 6707,1785
Denominators are 762,6642
The GCF of 6707,1785 is 1 .
LCM of 762,6642 is 843534.
The greatest common factor of 6707/762,1785/6642 = [GCF of 6707,1785]/[LCM of 762,6642]= 1/843534
Therefore, the GCF of 6707/762,1785/6642 is 1/843534.
To find the highest common factor of 6707,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 6707 are 1, 19, 353, 6707
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 6707,1785 is 1.
Lets's calculate GCF of 6707,1785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6707,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 6707
:1,19,353,6707
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 6707,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 6707,1785 is 1.
Lets's calculate LCM of 762,6642
| 2 | 762, 6642 |
| 3 | 381, 3321 |
| 127, 1107 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 1107 = 843534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843534
Therefore, the GCF of Fractions 6707/762,1785/6642 is 1/843534
Least Common Multiple of 762,6642 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 762,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,6642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,6642) x common factors =6 x 1 = 6
LCM(762,6642) = ( 762 × 6642 ) / 6
LCM(762,6642) = 5061204 / 6
LCM(762,6642) = 843534
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FAQs on GCF of Fractions of 6707/762, 1785/6642
1. What is the HCF of 6707,1785?
The HCF of 6707,1785 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 6707/762, 1785/6642?
Answer: GCF of Numerators as per given numbers 6707/762, 1785/6642 is
GCF of Numerators i.e. for 6707,1785 is 1
LCM of denominators i.e. for 762,6642 is 843534.
Thus, GCF of Fractions is 1/843534.Finally, GCF of Fractions for 6707/762, 1785/6642 is 1/843534.