GCF of 6892/997, 6136/7607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6892/997, 6136/7607 i.e 4/7584179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6892/997, 6136/7607.
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 6892/997,6136/7607?
Given fractions are 6892/997,6136/7607
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 6892/997,6136/7607, numerators are 6892,6136
Denominators are 997,7607
The GCF of 6892,6136 is 4 .
LCM of 997,7607 is 7584179.
The greatest common factor of 6892/997,6136/7607 = [GCF of 6892,6136]/[LCM of 997,7607]= 4/7584179
Therefore, the GCF of 6892/997,6136/7607 is 4/7584179.
To find the highest common factor of 6892,6136, we have to find the factors of both numbers and list the highest common factor.
The factors of 6892 are 1, 2, 4, 1723, 3446, 6892
The factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136
The HCF of 6892,6136 is 4.
Lets's calculate GCF of 6892,6136
| 2 | 6892, 6136 |
| 2 | 3446, 3068 |
| 1723, 1534 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6892,6136 By Matching Biggest Common Factor Method
Now, list down the factors of 6892
:1,2,4,1723,3446,6892
Now, list down the factors of 6136
:1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136
Greatest Common Factor
We found the factors 6892,6136 . The biggest common factor number is the GCF number.
So the greatest common factor 6892,6136 is 4.
Lets's calculate LCM of 997,7607
Given numbers has no common factors except 1. So, there LCM is their product i.e 7584179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7584179
Therefore, the GCF of Fractions 6892/997,6136/7607 is 4/7584179
Least Common Multiple of 997,7607 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 997,7607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,7607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,7607) x common factors =1 x 1 = 1
LCM(997,7607) = ( 997 × 7607 ) / 1
LCM(997,7607) = 7584179 / 1
LCM(997,7607) = 7584179
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FAQs on GCF of Fractions of 6892/997, 6136/7607
1. What is the HCF of 6892,6136?
The HCF of 6892,6136 is 4
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 6892/997, 6136/7607?
Answer: GCF of Numerators as per given numbers 6892/997, 6136/7607 is
GCF of Numerators i.e. for 6892,6136 is 4
LCM of denominators i.e. for 997,7607 is 7584179.
Thus, GCF of Fractions is 4/7584179.Finally, GCF of Fractions for 6892/997, 6136/7607 is 4/7584179.