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 5492, 3987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5492, 3987 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 5492, 3987 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 5492, 3987 is 1.
HCF(5492, 3987) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5492, 3987 is 1.
Step 1: Since 5492 > 3987, we apply the division lemma to 5492 and 3987, to get
5492 = 3987 x 1 + 1505
Step 2: Since the reminder 3987 ≠ 0, we apply division lemma to 1505 and 3987, to get
3987 = 1505 x 2 + 977
Step 3: We consider the new divisor 1505 and the new remainder 977, and apply the division lemma to get
1505 = 977 x 1 + 528
We consider the new divisor 977 and the new remainder 528,and apply the division lemma to get
977 = 528 x 1 + 449
We consider the new divisor 528 and the new remainder 449,and apply the division lemma to get
528 = 449 x 1 + 79
We consider the new divisor 449 and the new remainder 79,and apply the division lemma to get
449 = 79 x 5 + 54
We consider the new divisor 79 and the new remainder 54,and apply the division lemma to get
79 = 54 x 1 + 25
We consider the new divisor 54 and the new remainder 25,and apply the division lemma to get
54 = 25 x 2 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5492 and 3987 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(54,25) = HCF(79,54) = HCF(449,79) = HCF(528,449) = HCF(977,528) = HCF(1505,977) = HCF(3987,1505) = HCF(5492,3987) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5492, 3987?
Answer: HCF of 5492, 3987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5492, 3987 using Euclid's Algorithm?
Answer: For arbitrary numbers 5492, 3987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.