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 62, 475, 381, 936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 62, 475, 381, 936 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 62, 475, 381, 936 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 62, 475, 381, 936 is 1.
HCF(62, 475, 381, 936) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 62, 475, 381, 936 is 1.
Step 1: Since 475 > 62, we apply the division lemma to 475 and 62, to get
475 = 62 x 7 + 41
Step 2: Since the reminder 62 ≠ 0, we apply division lemma to 41 and 62, to get
62 = 41 x 1 + 21
Step 3: We consider the new divisor 41 and the new remainder 21, and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 62 and 475 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(62,41) = HCF(475,62) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 381 > 1, we apply the division lemma to 381 and 1, to get
381 = 1 x 381 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 381 is 1
Notice that 1 = HCF(381,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 936 > 1, we apply the division lemma to 936 and 1, to get
936 = 1 x 936 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 936 is 1
Notice that 1 = HCF(936,1) .
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 62, 475, 381, 936?
Answer: HCF of 62, 475, 381, 936 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 62, 475, 381, 936 using Euclid's Algorithm?
Answer: For arbitrary numbers 62, 475, 381, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.