Highest Common Factor of 579, 921 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 579, 921 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 921 is 3 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 579, 921 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 579, 921 is 3.
HCF(579, 921) = 3
HCF of 579, 921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 579, 921 is 3.
Highest Common Factor of 579,921 is 3
Step 1: Since 921 > 579, we apply the division lemma to 921 and 579, to get
921 = 579 x 1 + 342
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 342 and 579, to get
579 = 342 x 1 + 237
Step 3: We consider the new divisor 342 and the new remainder 237, and apply the division lemma to get
342 = 237 x 1 + 105
We consider the new divisor 237 and the new remainder 105,and apply the division lemma to get
237 = 105 x 2 + 27
We consider the new divisor 105 and the new remainder 27,and apply the division lemma to get
105 = 27 x 3 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 579 and 921 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(105,27) = HCF(237,105) = HCF(342,237) = HCF(579,342) = HCF(921,579) .
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Frequently Asked Questions on HCF of 579, 921 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 579, 921?
Answer: HCF of 579, 921 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 921 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.