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 792, 3631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 792, 3631 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 792, 3631 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 792, 3631 is 1.
HCF(792, 3631) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 792, 3631 is 1.
Step 1: Since 3631 > 792, we apply the division lemma to 3631 and 792, to get
3631 = 792 x 4 + 463
Step 2: Since the reminder 792 ≠ 0, we apply division lemma to 463 and 792, to get
792 = 463 x 1 + 329
Step 3: We consider the new divisor 463 and the new remainder 329, and apply the division lemma to get
463 = 329 x 1 + 134
We consider the new divisor 329 and the new remainder 134,and apply the division lemma to get
329 = 134 x 2 + 61
We consider the new divisor 134 and the new remainder 61,and apply the division lemma to get
134 = 61 x 2 + 12
We consider the new divisor 61 and the new remainder 12,and apply the division lemma to get
61 = 12 x 5 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 792 and 3631 is 1
Notice that 1 = HCF(12,1) = HCF(61,12) = HCF(134,61) = HCF(329,134) = HCF(463,329) = HCF(792,463) = HCF(3631,792) .
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 792, 3631?
Answer: HCF of 792, 3631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 792, 3631 using Euclid's Algorithm?
Answer: For arbitrary numbers 792, 3631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.