Highest Common Factor of 4909, 1527, 24386 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 4909, 1527, 24386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4909, 1527, 24386 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 4909, 1527, 24386 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 4909, 1527, 24386 is 1.
HCF(4909, 1527, 24386) = 1
HCF of 4909, 1527, 24386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4909, 1527, 24386 is 1.
Highest Common Factor of 4909,1527,24386 is 1
Step 1: Since 4909 > 1527, we apply the division lemma to 4909 and 1527, to get
4909 = 1527 x 3 + 328
Step 2: Since the reminder 1527 ≠ 0, we apply division lemma to 328 and 1527, to get
1527 = 328 x 4 + 215
Step 3: We consider the new divisor 328 and the new remainder 215, and apply the division lemma to get
328 = 215 x 1 + 113
We consider the new divisor 215 and the new remainder 113,and apply the division lemma to get
215 = 113 x 1 + 102
We consider the new divisor 113 and the new remainder 102,and apply the division lemma to get
113 = 102 x 1 + 11
We consider the new divisor 102 and the new remainder 11,and apply the division lemma to get
102 = 11 x 9 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4909 and 1527 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(102,11) = HCF(113,102) = HCF(215,113) = HCF(328,215) = HCF(1527,328) = HCF(4909,1527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 24386 > 1, we apply the division lemma to 24386 and 1, to get
24386 = 1 x 24386 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24386 is 1
Notice that 1 = HCF(24386,1) .
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Frequently Asked Questions on HCF of 4909, 1527, 24386 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 4909, 1527, 24386?
Answer: HCF of 4909, 1527, 24386 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4909, 1527, 24386 using Euclid's Algorithm?
Answer: For arbitrary numbers 4909, 1527, 24386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.