Highest Common Factor of 6772, 5487 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 6772, 5487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6772, 5487 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 6772, 5487 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 6772, 5487 is 1.
HCF(6772, 5487) = 1
HCF of 6772, 5487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6772, 5487 is 1.
Highest Common Factor of 6772,5487 is 1
Step 1: Since 6772 > 5487, we apply the division lemma to 6772 and 5487, to get
6772 = 5487 x 1 + 1285
Step 2: Since the reminder 5487 ≠ 0, we apply division lemma to 1285 and 5487, to get
5487 = 1285 x 4 + 347
Step 3: We consider the new divisor 1285 and the new remainder 347, and apply the division lemma to get
1285 = 347 x 3 + 244
We consider the new divisor 347 and the new remainder 244,and apply the division lemma to get
347 = 244 x 1 + 103
We consider the new divisor 244 and the new remainder 103,and apply the division lemma to get
244 = 103 x 2 + 38
We consider the new divisor 103 and the new remainder 38,and apply the division lemma to get
103 = 38 x 2 + 27
We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get
38 = 27 x 1 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6772 and 5487 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(103,38) = HCF(244,103) = HCF(347,244) = HCF(1285,347) = HCF(5487,1285) = HCF(6772,5487) .
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Frequently Asked Questions on HCF of 6772, 5487 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 6772, 5487?
Answer: HCF of 6772, 5487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6772, 5487 using Euclid's Algorithm?
Answer: For arbitrary numbers 6772, 5487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.