Highest Common Factor of 539, 7777, 6807 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 539, 7777, 6807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 7777, 6807 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 539, 7777, 6807 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 539, 7777, 6807 is 1.
HCF(539, 7777, 6807) = 1
HCF of 539, 7777, 6807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 539, 7777, 6807 is 1.
Highest Common Factor of 539,7777,6807 is 1
Step 1: Since 7777 > 539, we apply the division lemma to 7777 and 539, to get
7777 = 539 x 14 + 231
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 231 and 539, to get
539 = 231 x 2 + 77
Step 3: We consider the new divisor 231 and the new remainder 77, and apply the division lemma to get
231 = 77 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 77, the HCF of 539 and 7777 is 77
Notice that 77 = HCF(231,77) = HCF(539,231) = HCF(7777,539) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6807 > 77, we apply the division lemma to 6807 and 77, to get
6807 = 77 x 88 + 31
Step 2: Since the reminder 77 ≠ 0, we apply division lemma to 31 and 77, to get
77 = 31 x 2 + 15
Step 3: We consider the new divisor 31 and the new remainder 15, and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1, and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 77 and 6807 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(77,31) = HCF(6807,77) .
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Frequently Asked Questions on HCF of 539, 7777, 6807 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 539, 7777, 6807?
Answer: HCF of 539, 7777, 6807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 7777, 6807 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 7777, 6807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.