Highest Common Factor of 1857, 5290, 37650 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 1857, 5290, 37650 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1857, 5290, 37650 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 1857, 5290, 37650 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 1857, 5290, 37650 is 1.
HCF(1857, 5290, 37650) = 1
HCF of 1857, 5290, 37650 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1857, 5290, 37650 is 1.
Highest Common Factor of 1857,5290,37650 is 1
Step 1: Since 5290 > 1857, we apply the division lemma to 5290 and 1857, to get
5290 = 1857 x 2 + 1576
Step 2: Since the reminder 1857 ≠ 0, we apply division lemma to 1576 and 1857, to get
1857 = 1576 x 1 + 281
Step 3: We consider the new divisor 1576 and the new remainder 281, and apply the division lemma to get
1576 = 281 x 5 + 171
We consider the new divisor 281 and the new remainder 171,and apply the division lemma to get
281 = 171 x 1 + 110
We consider the new divisor 171 and the new remainder 110,and apply the division lemma to get
171 = 110 x 1 + 61
We consider the new divisor 110 and the new remainder 61,and apply the division lemma to get
110 = 61 x 1 + 49
We consider the new divisor 61 and the new remainder 49,and apply the division lemma to get
61 = 49 x 1 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma 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 1857 and 5290 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(61,49) = HCF(110,61) = HCF(171,110) = HCF(281,171) = HCF(1576,281) = HCF(1857,1576) = HCF(5290,1857) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37650 > 1, we apply the division lemma to 37650 and 1, to get
37650 = 1 x 37650 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37650 is 1
Notice that 1 = HCF(37650,1) .
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Frequently Asked Questions on HCF of 1857, 5290, 37650 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 1857, 5290, 37650?
Answer: HCF of 1857, 5290, 37650 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1857, 5290, 37650 using Euclid's Algorithm?
Answer: For arbitrary numbers 1857, 5290, 37650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.