GCF of 1507/696, 4769/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1507/696, 4769/916 i.e 1/159384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1507/696, 4769/916.
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 1507/696,4769/916?
Given fractions are 1507/696,4769/916
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 1507/696,4769/916, numerators are 1507,4769
Denominators are 696,916
The GCF of 1507,4769 is 1 .
LCM of 696,916 is 159384.
The greatest common factor of 1507/696,4769/916 = [GCF of 1507,4769]/[LCM of 696,916]= 1/159384
Therefore, the GCF of 1507/696,4769/916 is 1/159384.
To find the highest common factor of 1507,4769, we have to find the factors of both numbers and list the highest common factor.
The factors of 1507 are 1, 11, 137, 1507
The factors of 4769 are 1, 19, 251, 4769
The HCF of 1507,4769 is 1.
Lets's calculate GCF of 1507,4769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1507,4769 By Matching Biggest Common Factor Method
Now, list down the factors of 1507
:1,11,137,1507
Now, list down the factors of 4769
:1,19,251,4769
Greatest Common Factor
We found the factors 1507,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 1507,4769 is 1.
Lets's calculate LCM of 696,916
| 2 | 696, 916 |
| 2 | 348, 458 |
| 174, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 174 x 229 = 159384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159384
Therefore, the GCF of Fractions 1507/696,4769/916 is 1/159384
Least Common Multiple of 696,916 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 696,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(696,916) x common factors =4 x 1 = 4
LCM(696,916) = ( 696 × 916 ) / 4
LCM(696,916) = 637536 / 4
LCM(696,916) = 159384
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FAQs on GCF of Fractions of 1507/696, 4769/916
1. What is the HCF of 1507,4769?
The HCF of 1507,4769 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 1507/696, 4769/916?
Answer: GCF of Numerators as per given numbers 1507/696, 4769/916 is
GCF of Numerators i.e. for 1507,4769 is 1
LCM of denominators i.e. for 696,916 is 159384.
Thus, GCF of Fractions is 1/159384.Finally, GCF of Fractions for 1507/696, 4769/916 is 1/159384.