GCF of 4832/974, 7399/7670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4832/974, 7399/7670 i.e 151/3735290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4832/974, 7399/7670.
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 4832/974,7399/7670?
Given fractions are 4832/974,7399/7670
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 4832/974,7399/7670, numerators are 4832,7399
Denominators are 974,7670
The GCF of 4832,7399 is 151 .
LCM of 974,7670 is 3735290.
The greatest common factor of 4832/974,7399/7670 = [GCF of 4832,7399]/[LCM of 974,7670]= 151/3735290
Therefore, the GCF of 4832/974,7399/7670 is 151/3735290.
To find the highest common factor of 4832,7399, we have to find the factors of both numbers and list the highest common factor.
The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832
The factors of 7399 are 1, 7, 49, 151, 1057, 7399
The HCF of 4832,7399 is 151.
Lets's calculate GCF of 4832,7399
| 151 | 4832, 7399 |
| 32, 49 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 4832,7399 By Matching Biggest Common Factor Method
Now, list down the factors of 4832
:1,2,4,8,16,32,151,302,604,1208,2416,4832
Now, list down the factors of 7399
:1,7,49,151,1057,7399
Greatest Common Factor
We found the factors 4832,7399 . The biggest common factor number is the GCF number.
So the greatest common factor 4832,7399 is 151.
Lets's calculate LCM of 974,7670
| 2 | 974, 7670 |
| 487, 3835 |
∴ So the LCM of the given numbers is 2 x 487 x 3835 = 3735290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/3735290
Therefore, the GCF of Fractions 4832/974,7399/7670 is 151/3735290
Least Common Multiple of 974,7670 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 974,7670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,7670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,7670) x common factors =2 x 1 = 2
LCM(974,7670) = ( 974 × 7670 ) / 2
LCM(974,7670) = 7470580 / 2
LCM(974,7670) = 3735290
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FAQs on GCF of Fractions of 4832/974, 7399/7670
1. What is the HCF of 4832,7399?
The HCF of 4832,7399 is 151
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 4832/974, 7399/7670?
Answer: GCF of Numerators as per given numbers 4832/974, 7399/7670 is
GCF of Numerators i.e. for 4832,7399 is 151
LCM of denominators i.e. for 974,7670 is 3735290.
Thus, GCF of Fractions is 151/3735290.Finally, GCF of Fractions for 4832/974, 7399/7670 is 151/3735290.