Highest Common Factor of 1758, 7647 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 1758, 7647 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1758, 7647 is 3 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 1758, 7647 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 1758, 7647 is 3.
HCF(1758, 7647) = 3
HCF of 1758, 7647 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1758, 7647 is 3.
Highest Common Factor of 1758,7647 is 3
Step 1: Since 7647 > 1758, we apply the division lemma to 7647 and 1758, to get
7647 = 1758 x 4 + 615
Step 2: Since the reminder 1758 ≠ 0, we apply division lemma to 615 and 1758, to get
1758 = 615 x 2 + 528
Step 3: We consider the new divisor 615 and the new remainder 528, and apply the division lemma to get
615 = 528 x 1 + 87
We consider the new divisor 528 and the new remainder 87,and apply the division lemma to get
528 = 87 x 6 + 6
We consider the new divisor 87 and the new remainder 6,and apply the division lemma to get
87 = 6 x 14 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1758 and 7647 is 3
Notice that 3 = HCF(6,3) = HCF(87,6) = HCF(528,87) = HCF(615,528) = HCF(1758,615) = HCF(7647,1758) .
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Frequently Asked Questions on HCF of 1758, 7647 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 1758, 7647?
Answer: HCF of 1758, 7647 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1758, 7647 using Euclid's Algorithm?
Answer: For arbitrary numbers 1758, 7647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.