Highest Common Factor of 877, 71738 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 877, 71738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 877, 71738 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 877, 71738 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 877, 71738 is 1.
HCF(877, 71738) = 1
HCF of 877, 71738 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 877, 71738 is 1.
Highest Common Factor of 877,71738 is 1
Step 1: Since 71738 > 877, we apply the division lemma to 71738 and 877, to get
71738 = 877 x 81 + 701
Step 2: Since the reminder 877 ≠ 0, we apply division lemma to 701 and 877, to get
877 = 701 x 1 + 176
Step 3: We consider the new divisor 701 and the new remainder 176, and apply the division lemma to get
701 = 176 x 3 + 173
We consider the new divisor 176 and the new remainder 173,and apply the division lemma to get
176 = 173 x 1 + 3
We consider the new divisor 173 and the new remainder 3,and apply the division lemma to get
173 = 3 x 57 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 877 and 71738 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(173,3) = HCF(176,173) = HCF(701,176) = HCF(877,701) = HCF(71738,877) .
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Frequently Asked Questions on HCF of 877, 71738 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 877, 71738?
Answer: HCF of 877, 71738 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 877, 71738 using Euclid's Algorithm?
Answer: For arbitrary numbers 877, 71738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.