GCF of 5475/782, 4900/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5475/782, 4900/457 i.e 25/357374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5475/782, 4900/457.
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 5475/782,4900/457?
Given fractions are 5475/782,4900/457
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 5475/782,4900/457, numerators are 5475,4900
Denominators are 782,457
The GCF of 5475,4900 is 25 .
LCM of 782,457 is 357374.
The greatest common factor of 5475/782,4900/457 = [GCF of 5475,4900]/[LCM of 782,457]= 25/357374
Therefore, the GCF of 5475/782,4900/457 is 25/357374.
To find the highest common factor of 5475,4900, we have to find the factors of both numbers and list the highest common factor.
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
The HCF of 5475,4900 is 25.
Lets's calculate GCF of 5475,4900
| 5 | 5475, 4900 |
| 5 | 1095, 980 |
| 219, 196 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 5475,4900 By Matching Biggest Common Factor Method
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Now, list down the factors of 4900
:1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Greatest Common Factor
We found the factors 5475,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,4900 is 25.
Lets's calculate LCM of 782,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 357374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/357374
Therefore, the GCF of Fractions 5475/782,4900/457 is 25/357374
Least Common Multiple of 782,457 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 782,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,457) x common factors =1 x 1 = 1
LCM(782,457) = ( 782 × 457 ) / 1
LCM(782,457) = 357374 / 1
LCM(782,457) = 357374
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FAQs on GCF of Fractions of 5475/782, 4900/457
1. What is the HCF of 5475,4900?
The HCF of 5475,4900 is 25
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 5475/782, 4900/457?
Answer: GCF of Numerators as per given numbers 5475/782, 4900/457 is
GCF of Numerators i.e. for 5475,4900 is 25
LCM of denominators i.e. for 782,457 is 357374.
Thus, GCF of Fractions is 25/357374.Finally, GCF of Fractions for 5475/782, 4900/457 is 25/357374.