Highest Common Factor of 717, 279 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 717, 279 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 717, 279 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 717, 279 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 717, 279 is 3.
HCF(717, 279) = 3
HCF of 717, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 717, 279 is 3.
Highest Common Factor of 717,279 is 3
Step 1: Since 717 > 279, we apply the division lemma to 717 and 279, to get
717 = 279 x 2 + 159
Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 159 and 279, to get
279 = 159 x 1 + 120
Step 3: We consider the new divisor 159 and the new remainder 120, and apply the division lemma to get
159 = 120 x 1 + 39
We consider the new divisor 120 and the new remainder 39,and apply the division lemma to get
120 = 39 x 3 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 717 and 279 is 3
Notice that 3 = HCF(39,3) = HCF(120,39) = HCF(159,120) = HCF(279,159) = HCF(717,279) .
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Frequently Asked Questions on HCF of 717, 279 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 717, 279?
Answer: HCF of 717, 279 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 717, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 717, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.