GCF of 724/715, 7801/4900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/715, 7801/4900 i.e 1/700700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/715, 7801/4900.
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 724/715,7801/4900?
Given fractions are 724/715,7801/4900
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 724/715,7801/4900, numerators are 724,7801
Denominators are 715,4900
The GCF of 724,7801 is 1 .
LCM of 715,4900 is 700700.
The greatest common factor of 724/715,7801/4900 = [GCF of 724,7801]/[LCM of 715,4900]= 1/700700
Therefore, the GCF of 724/715,7801/4900 is 1/700700.
To find the highest common factor of 724,7801, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 7801 are 1, 29, 269, 7801
The HCF of 724,7801 is 1.
Lets's calculate GCF of 724,7801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 724,7801 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 7801
:1,29,269,7801
Greatest Common Factor
We found the factors 724,7801 . The biggest common factor number is the GCF number.
So the greatest common factor 724,7801 is 1.
Lets's calculate LCM of 715,4900
| 5 | 715, 4900 |
| 143, 980 |
∴ So the LCM of the given numbers is 5 x 143 x 980 = 700700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700700
Therefore, the GCF of Fractions 724/715,7801/4900 is 1/700700
Least Common Multiple of 715,4900 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 715,4900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,4900) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,4900) x common factors =5 x 1 = 5
LCM(715,4900) = ( 715 × 4900 ) / 5
LCM(715,4900) = 3503500 / 5
LCM(715,4900) = 700700
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FAQs on GCF of Fractions of 724/715, 7801/4900
1. What is the HCF of 724,7801?
The HCF of 724,7801 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 724/715, 7801/4900?
Answer: GCF of Numerators as per given numbers 724/715, 7801/4900 is
GCF of Numerators i.e. for 724,7801 is 1
LCM of denominators i.e. for 715,4900 is 700700.
Thus, GCF of Fractions is 1/700700.Finally, GCF of Fractions for 724/715, 7801/4900 is 1/700700.