Highest Common Factor of 839, 70977 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 839, 70977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 70977 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 839, 70977 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 839, 70977 is 1.
HCF(839, 70977) = 1
HCF of 839, 70977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 70977 is 1.
Highest Common Factor of 839,70977 is 1
Step 1: Since 70977 > 839, we apply the division lemma to 70977 and 839, to get
70977 = 839 x 84 + 501
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 501 and 839, to get
839 = 501 x 1 + 338
Step 3: We consider the new divisor 501 and the new remainder 338, and apply the division lemma to get
501 = 338 x 1 + 163
We consider the new divisor 338 and the new remainder 163,and apply the division lemma to get
338 = 163 x 2 + 12
We consider the new divisor 163 and the new remainder 12,and apply the division lemma to get
163 = 12 x 13 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 70977 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(163,12) = HCF(338,163) = HCF(501,338) = HCF(839,501) = HCF(70977,839) .
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Frequently Asked Questions on HCF of 839, 70977 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 839, 70977?
Answer: HCF of 839, 70977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 70977 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 70977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.