GCF of 760/692, 893/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/692, 893/507 i.e 19/350844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/692, 893/507.
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 760/692,893/507?
Given fractions are 760/692,893/507
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 760/692,893/507, numerators are 760,893
Denominators are 692,507
The GCF of 760,893 is 19 .
LCM of 692,507 is 350844.
The greatest common factor of 760/692,893/507 = [GCF of 760,893]/[LCM of 692,507]= 19/350844
Therefore, the GCF of 760/692,893/507 is 19/350844.
To find the highest common factor of 760,893, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 893 are 1, 19, 47, 893
The HCF of 760,893 is 19.
Lets's calculate GCF of 760,893
| 19 | 760, 893 |
| 40, 47 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 760,893 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 893
:1,19,47,893
Greatest Common Factor
We found the factors 760,893 . The biggest common factor number is the GCF number.
So the greatest common factor 760,893 is 19.
Lets's calculate LCM of 692,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 350844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/350844
Therefore, the GCF of Fractions 760/692,893/507 is 19/350844
Least Common Multiple of 692,507 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 692,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,507) x common factors =1 x 1 = 1
LCM(692,507) = ( 692 × 507 ) / 1
LCM(692,507) = 350844 / 1
LCM(692,507) = 350844
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FAQs on GCF of Fractions of 760/692, 893/507
1. What is the HCF of 760,893?
The HCF of 760,893 is 19
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 760/692, 893/507?
Answer: GCF of Numerators as per given numbers 760/692, 893/507 is
GCF of Numerators i.e. for 760,893 is 19
LCM of denominators i.e. for 692,507 is 350844.
Thus, GCF of Fractions is 19/350844.Finally, GCF of Fractions for 760/692, 893/507 is 19/350844.