GCF of 4748/652, 1750/4364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4748/652, 1750/4364 i.e 2/711332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4748/652, 1750/4364.
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 4748/652,1750/4364?
Given fractions are 4748/652,1750/4364
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 4748/652,1750/4364, numerators are 4748,1750
Denominators are 652,4364
The GCF of 4748,1750 is 2 .
LCM of 652,4364 is 711332.
The greatest common factor of 4748/652,1750/4364 = [GCF of 4748,1750]/[LCM of 652,4364]= 2/711332
Therefore, the GCF of 4748/652,1750/4364 is 2/711332.
To find the highest common factor of 4748,1750, we have to find the factors of both numbers and list the highest common factor.
The factors of 4748 are 1, 2, 4, 1187, 2374, 4748
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The HCF of 4748,1750 is 2.
Lets's calculate GCF of 4748,1750
| 2 | 4748, 1750 |
| 2374, 875 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4748,1750 By Matching Biggest Common Factor Method
Now, list down the factors of 4748
:1,2,4,1187,2374,4748
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Greatest Common Factor
We found the factors 4748,1750 . The biggest common factor number is the GCF number.
So the greatest common factor 4748,1750 is 2.
Lets's calculate LCM of 652,4364
| 2 | 652, 4364 |
| 2 | 326, 2182 |
| 163, 1091 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 1091 = 711332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/711332
Therefore, the GCF of Fractions 4748/652,1750/4364 is 2/711332
Least Common Multiple of 652,4364 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 652,4364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,4364) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,4364) x common factors =4 x 1 = 4
LCM(652,4364) = ( 652 × 4364 ) / 4
LCM(652,4364) = 2845328 / 4
LCM(652,4364) = 711332
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FAQs on GCF of Fractions of 4748/652, 1750/4364
1. What is the HCF of 4748,1750?
The HCF of 4748,1750 is 2
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 4748/652, 1750/4364?
Answer: GCF of Numerators as per given numbers 4748/652, 1750/4364 is
GCF of Numerators i.e. for 4748,1750 is 2
LCM of denominators i.e. for 652,4364 is 711332.
Thus, GCF of Fractions is 2/711332.Finally, GCF of Fractions for 4748/652, 1750/4364 is 2/711332.