GCF of 7570/895, 4952/8396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7570/895, 4952/8396 i.e 2/7514420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7570/895, 4952/8396.
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 7570/895,4952/8396?
Given fractions are 7570/895,4952/8396
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 7570/895,4952/8396, numerators are 7570,4952
Denominators are 895,8396
The GCF of 7570,4952 is 2 .
LCM of 895,8396 is 7514420.
The greatest common factor of 7570/895,4952/8396 = [GCF of 7570,4952]/[LCM of 895,8396]= 2/7514420
Therefore, the GCF of 7570/895,4952/8396 is 2/7514420.
To find the highest common factor of 7570,4952, we have to find the factors of both numbers and list the highest common factor.
The factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570
The factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952
The HCF of 7570,4952 is 2.
Lets's calculate GCF of 7570,4952
| 2 | 7570, 4952 |
| 3785, 2476 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7570,4952 By Matching Biggest Common Factor Method
Now, list down the factors of 7570
:1,2,5,10,757,1514,3785,7570
Now, list down the factors of 4952
:1,2,4,8,619,1238,2476,4952
Greatest Common Factor
We found the factors 7570,4952 . The biggest common factor number is the GCF number.
So the greatest common factor 7570,4952 is 2.
Lets's calculate LCM of 895,8396
Given numbers has no common factors except 1. So, there LCM is their product i.e 7514420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7514420
Therefore, the GCF of Fractions 7570/895,4952/8396 is 2/7514420
Least Common Multiple of 895,8396 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 895,8396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,8396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,8396) x common factors =1 x 1 = 1
LCM(895,8396) = ( 895 × 8396 ) / 1
LCM(895,8396) = 7514420 / 1
LCM(895,8396) = 7514420
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FAQs on GCF of Fractions of 7570/895, 4952/8396
1. What is the HCF of 7570,4952?
The HCF of 7570,4952 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 7570/895, 4952/8396?
Answer: GCF of Numerators as per given numbers 7570/895, 4952/8396 is
GCF of Numerators i.e. for 7570,4952 is 2
LCM of denominators i.e. for 895,8396 is 7514420.
Thus, GCF of Fractions is 2/7514420.Finally, GCF of Fractions for 7570/895, 4952/8396 is 2/7514420.