Highest Common Factor of 1609, 6788 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 1609, 6788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1609, 6788 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 1609, 6788 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 1609, 6788 is 1.
HCF(1609, 6788) = 1
HCF of 1609, 6788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1609, 6788 is 1.
Highest Common Factor of 1609,6788 is 1
Step 1: Since 6788 > 1609, we apply the division lemma to 6788 and 1609, to get
6788 = 1609 x 4 + 352
Step 2: Since the reminder 1609 ≠ 0, we apply division lemma to 352 and 1609, to get
1609 = 352 x 4 + 201
Step 3: We consider the new divisor 352 and the new remainder 201, and apply the division lemma to get
352 = 201 x 1 + 151
We consider the new divisor 201 and the new remainder 151,and apply the division lemma to get
201 = 151 x 1 + 50
We consider the new divisor 151 and the new remainder 50,and apply the division lemma to get
151 = 50 x 3 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1609 and 6788 is 1
Notice that 1 = HCF(50,1) = HCF(151,50) = HCF(201,151) = HCF(352,201) = HCF(1609,352) = HCF(6788,1609) .
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Frequently Asked Questions on HCF of 1609, 6788 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 1609, 6788?
Answer: HCF of 1609, 6788 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1609, 6788 using Euclid's Algorithm?
Answer: For arbitrary numbers 1609, 6788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.