GCF of 4850/508, 7769/1564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4850/508, 7769/1564 i.e 1/198628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4850/508, 7769/1564.
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 4850/508,7769/1564?
Given fractions are 4850/508,7769/1564
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 4850/508,7769/1564, numerators are 4850,7769
Denominators are 508,1564
The GCF of 4850,7769 is 1 .
LCM of 508,1564 is 198628.
The greatest common factor of 4850/508,7769/1564 = [GCF of 4850,7769]/[LCM of 508,1564]= 1/198628
Therefore, the GCF of 4850/508,7769/1564 is 1/198628.
To find the highest common factor of 4850,7769, we have to find the factors of both numbers and list the highest common factor.
The factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850
The factors of 7769 are 1, 17, 457, 7769
The HCF of 4850,7769 is 1.
Lets's calculate GCF of 4850,7769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4850,7769 By Matching Biggest Common Factor Method
Now, list down the factors of 4850
:1,2,5,10,25,50,97,194,485,970,2425,4850
Now, list down the factors of 7769
:1,17,457,7769
Greatest Common Factor
We found the factors 4850,7769 . The biggest common factor number is the GCF number.
So the greatest common factor 4850,7769 is 1.
Lets's calculate LCM of 508,1564
| 2 | 508, 1564 |
| 2 | 254, 782 |
| 127, 391 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 391 = 198628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198628
Therefore, the GCF of Fractions 4850/508,7769/1564 is 1/198628
Least Common Multiple of 508,1564 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 508,1564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,1564) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,1564) x common factors =4 x 1 = 4
LCM(508,1564) = ( 508 × 1564 ) / 4
LCM(508,1564) = 794512 / 4
LCM(508,1564) = 198628
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FAQs on GCF of Fractions of 4850/508, 7769/1564
1. What is the HCF of 4850,7769?
The HCF of 4850,7769 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 4850/508, 7769/1564?
Answer: GCF of Numerators as per given numbers 4850/508, 7769/1564 is
GCF of Numerators i.e. for 4850,7769 is 1
LCM of denominators i.e. for 508,1564 is 198628.
Thus, GCF of Fractions is 1/198628.Finally, GCF of Fractions for 4850/508, 7769/1564 is 1/198628.