Highest Common Factor of 987, 641, 619 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 987, 641, 619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 987, 641, 619 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 987, 641, 619 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 987, 641, 619 is 1.
HCF(987, 641, 619) = 1
HCF of 987, 641, 619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 987, 641, 619 is 1.
Highest Common Factor of 987,641,619 is 1
Step 1: Since 987 > 641, we apply the division lemma to 987 and 641, to get
987 = 641 x 1 + 346
Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 346 and 641, to get
641 = 346 x 1 + 295
Step 3: We consider the new divisor 346 and the new remainder 295, and apply the division lemma to get
346 = 295 x 1 + 51
We consider the new divisor 295 and the new remainder 51,and apply the division lemma to get
295 = 51 x 5 + 40
We consider the new divisor 51 and the new remainder 40,and apply the division lemma to get
51 = 40 x 1 + 11
We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get
40 = 11 x 3 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 987 and 641 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(51,40) = HCF(295,51) = HCF(346,295) = HCF(641,346) = HCF(987,641) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 619 > 1, we apply the division lemma to 619 and 1, to get
619 = 1 x 619 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 619 is 1
Notice that 1 = HCF(619,1) .
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Frequently Asked Questions on HCF of 987, 641, 619 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 987, 641, 619?
Answer: HCF of 987, 641, 619 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 987, 641, 619 using Euclid's Algorithm?
Answer: For arbitrary numbers 987, 641, 619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
