GCF of 4697/936, 7570/760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4697/936, 7570/760 i.e 1/88920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4697/936, 7570/760.
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 4697/936,7570/760?
Given fractions are 4697/936,7570/760
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 4697/936,7570/760, numerators are 4697,7570
Denominators are 936,760
The GCF of 4697,7570 is 1 .
LCM of 936,760 is 88920.
The greatest common factor of 4697/936,7570/760 = [GCF of 4697,7570]/[LCM of 936,760]= 1/88920
Therefore, the GCF of 4697/936,7570/760 is 1/88920.
To find the highest common factor of 4697,7570, we have to find the factors of both numbers and list the highest common factor.
The factors of 4697 are 1, 7, 11, 61, 77, 427, 671, 4697
The factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570
The HCF of 4697,7570 is 1.
Lets's calculate GCF of 4697,7570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4697,7570 By Matching Biggest Common Factor Method
Now, list down the factors of 4697
:1,7,11,61,77,427,671,4697
Now, list down the factors of 7570
:1,2,5,10,757,1514,3785,7570
Greatest Common Factor
We found the factors 4697,7570 . The biggest common factor number is the GCF number.
So the greatest common factor 4697,7570 is 1.
Lets's calculate LCM of 936,760
| 2 | 936, 760 |
| 2 | 468, 380 |
| 2 | 234, 190 |
| 117, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 95 = 88920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88920
Therefore, the GCF of Fractions 4697/936,7570/760 is 1/88920
Least Common Multiple of 936,760 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 936,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,760) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(936,760) x common factors =8 x 1 = 8
LCM(936,760) = ( 936 × 760 ) / 8
LCM(936,760) = 711360 / 8
LCM(936,760) = 88920
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FAQs on GCF of Fractions of 4697/936, 7570/760
1. What is the HCF of 4697,7570?
The HCF of 4697,7570 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 4697/936, 7570/760?
Answer: GCF of Numerators as per given numbers 4697/936, 7570/760 is
GCF of Numerators i.e. for 4697,7570 is 1
LCM of denominators i.e. for 936,760 is 88920.
Thus, GCF of Fractions is 1/88920.Finally, GCF of Fractions for 4697/936, 7570/760 is 1/88920.