Highest Common Factor of 5110, 2033, 30525 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5110, 2033, 30525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5110, 2033, 30525 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5110, 2033, 30525 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5110, 2033, 30525 is 1.
HCF(5110, 2033, 30525) = 1
HCF of 5110, 2033, 30525 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5110, 2033, 30525 is 1.
Highest Common Factor of 5110,2033,30525 is 1
Step 1: Since 5110 > 2033, we apply the division lemma to 5110 and 2033, to get
5110 = 2033 x 2 + 1044
Step 2: Since the reminder 2033 ≠ 0, we apply division lemma to 1044 and 2033, to get
2033 = 1044 x 1 + 989
Step 3: We consider the new divisor 1044 and the new remainder 989, and apply the division lemma to get
1044 = 989 x 1 + 55
We consider the new divisor 989 and the new remainder 55,and apply the division lemma to get
989 = 55 x 17 + 54
We consider the new divisor 55 and the new remainder 54,and apply the division lemma to get
55 = 54 x 1 + 1
We consider the new divisor 54 and the new remainder 1,and apply the division lemma to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5110 and 2033 is 1
Notice that 1 = HCF(54,1) = HCF(55,54) = HCF(989,55) = HCF(1044,989) = HCF(2033,1044) = HCF(5110,2033) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30525 > 1, we apply the division lemma to 30525 and 1, to get
30525 = 1 x 30525 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30525 is 1
Notice that 1 = HCF(30525,1) .
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Frequently Asked Questions on HCF of 5110, 2033, 30525 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5110, 2033, 30525?
Answer: HCF of 5110, 2033, 30525 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5110, 2033, 30525 using Euclid's Algorithm?
Answer: For arbitrary numbers 5110, 2033, 30525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.