Highest Common Factor of 277, 83688 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 277, 83688 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 277, 83688 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 277, 83688 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 277, 83688 is 1.
HCF(277, 83688) = 1
HCF of 277, 83688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 277, 83688 is 1.
Highest Common Factor of 277,83688 is 1
Step 1: Since 83688 > 277, we apply the division lemma to 83688 and 277, to get
83688 = 277 x 302 + 34
Step 2: Since the reminder 277 ≠ 0, we apply division lemma to 34 and 277, to get
277 = 34 x 8 + 5
Step 3: We consider the new divisor 34 and the new remainder 5, and apply the division lemma to get
34 = 5 x 6 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 277 and 83688 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(277,34) = HCF(83688,277) .
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Frequently Asked Questions on HCF of 277, 83688 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 277, 83688?
Answer: HCF of 277, 83688 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 277, 83688 using Euclid's Algorithm?
Answer: For arbitrary numbers 277, 83688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.