Highest Common Factor of 939, 579 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 939, 579 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 579 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 939, 579 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 939, 579 is 3.
HCF(939, 579) = 3
HCF of 939, 579 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 939, 579 is 3.
Highest Common Factor of 939,579 is 3
Step 1: Since 939 > 579, we apply the division lemma to 939 and 579, to get
939 = 579 x 1 + 360
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 360 and 579, to get
579 = 360 x 1 + 219
Step 3: We consider the new divisor 360 and the new remainder 219, and apply the division lemma to get
360 = 219 x 1 + 141
We consider the new divisor 219 and the new remainder 141,and apply the division lemma to get
219 = 141 x 1 + 78
We consider the new divisor 141 and the new remainder 78,and apply the division lemma to get
141 = 78 x 1 + 63
We consider the new divisor 78 and the new remainder 63,and apply the division lemma to get
78 = 63 x 1 + 15
We consider the new divisor 63 and the new remainder 15,and apply the division lemma to get
63 = 15 x 4 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 939 and 579 is 3
Notice that 3 = HCF(15,3) = HCF(63,15) = HCF(78,63) = HCF(141,78) = HCF(219,141) = HCF(360,219) = HCF(579,360) = HCF(939,579) .
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Frequently Asked Questions on HCF of 939, 579 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 939, 579?
Answer: HCF of 939, 579 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 579 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.