Highest Common Factor of 890, 513, 587, 12 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 890, 513, 587, 12 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 890, 513, 587, 12 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 890, 513, 587, 12 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 890, 513, 587, 12 is 1.
HCF(890, 513, 587, 12) = 1
HCF of 890, 513, 587, 12 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 890, 513, 587, 12 is 1.
Highest Common Factor of 890,513,587,12 is 1
Step 1: Since 890 > 513, we apply the division lemma to 890 and 513, to get
890 = 513 x 1 + 377
Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 377 and 513, to get
513 = 377 x 1 + 136
Step 3: We consider the new divisor 377 and the new remainder 136, and apply the division lemma to get
377 = 136 x 2 + 105
We consider the new divisor 136 and the new remainder 105,and apply the division lemma to get
136 = 105 x 1 + 31
We consider the new divisor 105 and the new remainder 31,and apply the division lemma to get
105 = 31 x 3 + 12
We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get
31 = 12 x 2 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 890 and 513 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(105,31) = HCF(136,105) = HCF(377,136) = HCF(513,377) = HCF(890,513) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 587 > 1, we apply the division lemma to 587 and 1, to get
587 = 1 x 587 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 587 is 1
Notice that 1 = HCF(587,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12 > 1, we apply the division lemma to 12 and 1, to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12 is 1
Notice that 1 = HCF(12,1) .
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Frequently Asked Questions on HCF of 890, 513, 587, 12 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 890, 513, 587, 12?
Answer: HCF of 890, 513, 587, 12 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 890, 513, 587, 12 using Euclid's Algorithm?
Answer: For arbitrary numbers 890, 513, 587, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
