Highest Common Factor of 3987, 5519 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 3987, 5519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3987, 5519 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 3987, 5519 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 3987, 5519 is 1.
HCF(3987, 5519) = 1
HCF of 3987, 5519 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3987, 5519 is 1.
Highest Common Factor of 3987,5519 is 1
Step 1: Since 5519 > 3987, we apply the division lemma to 5519 and 3987, to get
5519 = 3987 x 1 + 1532
Step 2: Since the reminder 3987 ≠ 0, we apply division lemma to 1532 and 3987, to get
3987 = 1532 x 2 + 923
Step 3: We consider the new divisor 1532 and the new remainder 923, and apply the division lemma to get
1532 = 923 x 1 + 609
We consider the new divisor 923 and the new remainder 609,and apply the division lemma to get
923 = 609 x 1 + 314
We consider the new divisor 609 and the new remainder 314,and apply the division lemma to get
609 = 314 x 1 + 295
We consider the new divisor 314 and the new remainder 295,and apply the division lemma to get
314 = 295 x 1 + 19
We consider the new divisor 295 and the new remainder 19,and apply the division lemma to get
295 = 19 x 15 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3987 and 5519 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(295,19) = HCF(314,295) = HCF(609,314) = HCF(923,609) = HCF(1532,923) = HCF(3987,1532) = HCF(5519,3987) .
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Frequently Asked Questions on HCF of 3987, 5519 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 3987, 5519?
Answer: HCF of 3987, 5519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3987, 5519 using Euclid's Algorithm?
Answer: For arbitrary numbers 3987, 5519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.