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 638, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 638, 807 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 638, 807 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 638, 807 is 1.
HCF(638, 807) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 638, 807 is 1.
Step 1: Since 807 > 638, we apply the division lemma to 807 and 638, to get
807 = 638 x 1 + 169
Step 2: Since the reminder 638 ≠ 0, we apply division lemma to 169 and 638, to get
638 = 169 x 3 + 131
Step 3: We consider the new divisor 169 and the new remainder 131, and apply the division lemma to get
169 = 131 x 1 + 38
We consider the new divisor 131 and the new remainder 38,and apply the division lemma to get
131 = 38 x 3 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 638 and 807 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(131,38) = HCF(169,131) = HCF(638,169) = HCF(807,638) .
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 638, 807?
Answer: HCF of 638, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 638, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 638, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.