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 636, 66524 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 66524 is 4 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 636, 66524 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 636, 66524 is 4.
HCF(636, 66524) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 636, 66524 is 4.
Step 1: Since 66524 > 636, we apply the division lemma to 66524 and 636, to get
66524 = 636 x 104 + 380
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 380 and 636, to get
636 = 380 x 1 + 256
Step 3: We consider the new divisor 380 and the new remainder 256, and apply the division lemma to get
380 = 256 x 1 + 124
We consider the new divisor 256 and the new remainder 124,and apply the division lemma to get
256 = 124 x 2 + 8
We consider the new divisor 124 and the new remainder 8,and apply the division lemma to get
124 = 8 x 15 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 636 and 66524 is 4
Notice that 4 = HCF(8,4) = HCF(124,8) = HCF(256,124) = HCF(380,256) = HCF(636,380) = HCF(66524,636) .
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 636, 66524?
Answer: HCF of 636, 66524 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 66524 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 66524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.