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 5694, 9494, 29834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5694, 9494, 29834 is 2 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 5694, 9494, 29834 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 5694, 9494, 29834 is 2.
HCF(5694, 9494, 29834) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5694, 9494, 29834 is 2.
Step 1: Since 9494 > 5694, we apply the division lemma to 9494 and 5694, to get
9494 = 5694 x 1 + 3800
Step 2: Since the reminder 5694 ≠ 0, we apply division lemma to 3800 and 5694, to get
5694 = 3800 x 1 + 1894
Step 3: We consider the new divisor 3800 and the new remainder 1894, and apply the division lemma to get
3800 = 1894 x 2 + 12
We consider the new divisor 1894 and the new remainder 12,and apply the division lemma to get
1894 = 12 x 157 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5694 and 9494 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(1894,12) = HCF(3800,1894) = HCF(5694,3800) = HCF(9494,5694) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29834 > 2, we apply the division lemma to 29834 and 2, to get
29834 = 2 x 14917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 29834 is 2
Notice that 2 = HCF(29834,2) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5694, 9494, 29834?
Answer: HCF of 5694, 9494, 29834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5694, 9494, 29834 using Euclid's Algorithm?
Answer: For arbitrary numbers 5694, 9494, 29834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.