Highest Common Factor of 939, 8239 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, 8239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 8239 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 939, 8239 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, 8239 is 1.
HCF(939, 8239) = 1
HCF of 939, 8239 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, 8239 is 1.
Highest Common Factor of 939,8239 is 1
Step 1: Since 8239 > 939, we apply the division lemma to 8239 and 939, to get
8239 = 939 x 8 + 727
Step 2: Since the reminder 939 ≠ 0, we apply division lemma to 727 and 939, to get
939 = 727 x 1 + 212
Step 3: We consider the new divisor 727 and the new remainder 212, and apply the division lemma to get
727 = 212 x 3 + 91
We consider the new divisor 212 and the new remainder 91,and apply the division lemma to get
212 = 91 x 2 + 30
We consider the new divisor 91 and the new remainder 30,and apply the division lemma to get
91 = 30 x 3 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 939 and 8239 is 1
Notice that 1 = HCF(30,1) = HCF(91,30) = HCF(212,91) = HCF(727,212) = HCF(939,727) = HCF(8239,939) .
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Frequently Asked Questions on HCF of 939, 8239 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, 8239?
Answer: HCF of 939, 8239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 8239 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 8239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.