Highest Common Factor of 5477, 3926, 12892 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 5477, 3926, 12892 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5477, 3926, 12892 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 5477, 3926, 12892 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 5477, 3926, 12892 is 1.
HCF(5477, 3926, 12892) = 1
HCF of 5477, 3926, 12892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5477, 3926, 12892 is 1.
Highest Common Factor of 5477,3926,12892 is 1
Step 1: Since 5477 > 3926, we apply the division lemma to 5477 and 3926, to get
5477 = 3926 x 1 + 1551
Step 2: Since the reminder 3926 ≠ 0, we apply division lemma to 1551 and 3926, to get
3926 = 1551 x 2 + 824
Step 3: We consider the new divisor 1551 and the new remainder 824, and apply the division lemma to get
1551 = 824 x 1 + 727
We consider the new divisor 824 and the new remainder 727,and apply the division lemma to get
824 = 727 x 1 + 97
We consider the new divisor 727 and the new remainder 97,and apply the division lemma to get
727 = 97 x 7 + 48
We consider the new divisor 97 and the new remainder 48,and apply the division lemma to get
97 = 48 x 2 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5477 and 3926 is 1
Notice that 1 = HCF(48,1) = HCF(97,48) = HCF(727,97) = HCF(824,727) = HCF(1551,824) = HCF(3926,1551) = HCF(5477,3926) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12892 > 1, we apply the division lemma to 12892 and 1, to get
12892 = 1 x 12892 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12892 is 1
Notice that 1 = HCF(12892,1) .
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Frequently Asked Questions on HCF of 5477, 3926, 12892 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 5477, 3926, 12892?
Answer: HCF of 5477, 3926, 12892 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5477, 3926, 12892 using Euclid's Algorithm?
Answer: For arbitrary numbers 5477, 3926, 12892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.