Highest Common Factor of 327, 824 using Euclid's algorithm
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 327, 824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 327, 824 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 327, 824 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 327, 824 is 1.
HCF(327, 824) = 1
HCF of 327, 824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 327, 824 is 1.
Highest Common Factor of 327,824 is 1
Step 1: Since 824 > 327, we apply the division lemma to 824 and 327, to get
824 = 327 x 2 + 170
Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 170 and 327, to get
327 = 170 x 1 + 157
Step 3: We consider the new divisor 170 and the new remainder 157, and apply the division lemma to get
170 = 157 x 1 + 13
We consider the new divisor 157 and the new remainder 13,and apply the division lemma to get
157 = 13 x 12 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 327 and 824 is 1
Notice that 1 = HCF(13,1) = HCF(157,13) = HCF(170,157) = HCF(327,170) = HCF(824,327) .
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Frequently Asked Questions on HCF of 327, 824 using Euclid's Algorithm
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 327, 824?
Answer: HCF of 327, 824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 327, 824 using Euclid's Algorithm?
Answer: For arbitrary numbers 327, 824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.