GCF of 7237/735, 5677/8127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7237/735, 5677/8127 i.e 1/284445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7237/735, 5677/8127.
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 7237/735,5677/8127?
Given fractions are 7237/735,5677/8127
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 7237/735,5677/8127, numerators are 7237,5677
Denominators are 735,8127
The GCF of 7237,5677 is 1 .
LCM of 735,8127 is 284445.
The greatest common factor of 7237/735,5677/8127 = [GCF of 7237,5677]/[LCM of 735,8127]= 1/284445
Therefore, the GCF of 7237/735,5677/8127 is 1/284445.
To find the highest common factor of 7237,5677, we have to find the factors of both numbers and list the highest common factor.
The factors of 7237 are 1, 7237
The factors of 5677 are 1, 7, 811, 5677
The HCF of 7237,5677 is 1.
Lets's calculate GCF of 7237,5677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7237,5677 By Matching Biggest Common Factor Method
Now, list down the factors of 7237
:1,7237
Now, list down the factors of 5677
:1,7,811,5677
Greatest Common Factor
We found the factors 7237,5677 . The biggest common factor number is the GCF number.
So the greatest common factor 7237,5677 is 1.
Lets's calculate LCM of 735,8127
| 3 | 735, 8127 |
| 7 | 245, 2709 |
| 35, 387 |
∴ So the LCM of the given numbers is 3 x 7 x 35 x 387 = 284445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284445
Therefore, the GCF of Fractions 7237/735,5677/8127 is 1/284445
Least Common Multiple of 735,8127 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 735,8127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,8127) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(735,8127) x common factors =21 x 1 = 21
LCM(735,8127) = ( 735 × 8127 ) / 21
LCM(735,8127) = 5973345 / 21
LCM(735,8127) = 284445
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FAQs on GCF of Fractions of 7237/735, 5677/8127
1. What is the HCF of 7237,5677?
The HCF of 7237,5677 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 7237/735, 5677/8127?
Answer: GCF of Numerators as per given numbers 7237/735, 5677/8127 is
GCF of Numerators i.e. for 7237,5677 is 1
LCM of denominators i.e. for 735,8127 is 284445.
Thus, GCF of Fractions is 1/284445.Finally, GCF of Fractions for 7237/735, 5677/8127 is 1/284445.