Highest Common Factor of 6542, 1176 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 6542, 1176 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6542, 1176 is 2 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 6542, 1176 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 6542, 1176 is 2.
HCF(6542, 1176) = 2
HCF of 6542, 1176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6542, 1176 is 2.
Highest Common Factor of 6542,1176 is 2
Step 1: Since 6542 > 1176, we apply the division lemma to 6542 and 1176, to get
6542 = 1176 x 5 + 662
Step 2: Since the reminder 1176 ≠ 0, we apply division lemma to 662 and 1176, to get
1176 = 662 x 1 + 514
Step 3: We consider the new divisor 662 and the new remainder 514, and apply the division lemma to get
662 = 514 x 1 + 148
We consider the new divisor 514 and the new remainder 148,and apply the division lemma to get
514 = 148 x 3 + 70
We consider the new divisor 148 and the new remainder 70,and apply the division lemma to get
148 = 70 x 2 + 8
We consider the new divisor 70 and the new remainder 8,and apply the division lemma to get
70 = 8 x 8 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6542 and 1176 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(70,8) = HCF(148,70) = HCF(514,148) = HCF(662,514) = HCF(1176,662) = HCF(6542,1176) .
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Frequently Asked Questions on HCF of 6542, 1176 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 6542, 1176?
Answer: HCF of 6542, 1176 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6542, 1176 using Euclid's Algorithm?
Answer: For arbitrary numbers 6542, 1176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.