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 4637, 4786, 98108 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4637, 4786, 98108 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 4637, 4786, 98108 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 4637, 4786, 98108 is 1.
HCF(4637, 4786, 98108) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4637, 4786, 98108 is 1.
Step 1: Since 4786 > 4637, we apply the division lemma to 4786 and 4637, to get
4786 = 4637 x 1 + 149
Step 2: Since the reminder 4637 ≠ 0, we apply division lemma to 149 and 4637, to get
4637 = 149 x 31 + 18
Step 3: We consider the new divisor 149 and the new remainder 18, and apply the division lemma to get
149 = 18 x 8 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 4637 and 4786 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(149,18) = HCF(4637,149) = HCF(4786,4637) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98108 > 1, we apply the division lemma to 98108 and 1, to get
98108 = 1 x 98108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98108 is 1
Notice that 1 = HCF(98108,1) .
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 4637, 4786, 98108?
Answer: HCF of 4637, 4786, 98108 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4637, 4786, 98108 using Euclid's Algorithm?
Answer: For arbitrary numbers 4637, 4786, 98108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.