Highest Common Factor of 6769, 1657 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 6769, 1657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6769, 1657 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 6769, 1657 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 6769, 1657 is 1.
HCF(6769, 1657) = 1
HCF of 6769, 1657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6769, 1657 is 1.
Highest Common Factor of 6769,1657 is 1
Step 1: Since 6769 > 1657, we apply the division lemma to 6769 and 1657, to get
6769 = 1657 x 4 + 141
Step 2: Since the reminder 1657 ≠ 0, we apply division lemma to 141 and 1657, to get
1657 = 141 x 11 + 106
Step 3: We consider the new divisor 141 and the new remainder 106, and apply the division lemma to get
141 = 106 x 1 + 35
We consider the new divisor 106 and the new remainder 35,and apply the division lemma to get
106 = 35 x 3 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6769 and 1657 is 1
Notice that 1 = HCF(35,1) = HCF(106,35) = HCF(141,106) = HCF(1657,141) = HCF(6769,1657) .
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Frequently Asked Questions on HCF of 6769, 1657 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 6769, 1657?
Answer: HCF of 6769, 1657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6769, 1657 using Euclid's Algorithm?
Answer: For arbitrary numbers 6769, 1657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.