Highest Common Factor of 579, 927 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, 927 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 927 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, 927 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, 927 is 3.
HCF(579, 927) = 3
HCF of 579, 927 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, 927 is 3.
Highest Common Factor of 579,927 is 3
Step 1: Since 927 > 579, we apply the division lemma to 927 and 579, to get
927 = 579 x 1 + 348
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 348 and 579, to get
579 = 348 x 1 + 231
Step 3: We consider the new divisor 348 and the new remainder 231, and apply the division lemma to get
348 = 231 x 1 + 117
We consider the new divisor 231 and the new remainder 117,and apply the division lemma to get
231 = 117 x 1 + 114
We consider the new divisor 117 and the new remainder 114,and apply the division lemma to get
117 = 114 x 1 + 3
We consider the new divisor 114 and the new remainder 3,and apply the division lemma to get
114 = 3 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 579 and 927 is 3
Notice that 3 = HCF(114,3) = HCF(117,114) = HCF(231,117) = HCF(348,231) = HCF(579,348) = HCF(927,579) .
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Frequently Asked Questions on HCF of 579, 927 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, 927?
Answer: HCF of 579, 927 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 927 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.