Highest Common Factor of 259, 333, 684, 187 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 259, 333, 684, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 259, 333, 684, 187 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 259, 333, 684, 187 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 259, 333, 684, 187 is 1.
HCF(259, 333, 684, 187) = 1
HCF of 259, 333, 684, 187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 259, 333, 684, 187 is 1.
Highest Common Factor of 259,333,684,187 is 1
Step 1: Since 333 > 259, we apply the division lemma to 333 and 259, to get
333 = 259 x 1 + 74
Step 2: Since the reminder 259 ≠ 0, we apply division lemma to 74 and 259, to get
259 = 74 x 3 + 37
Step 3: We consider the new divisor 74 and the new remainder 37, and apply the division lemma to get
74 = 37 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 259 and 333 is 37
Notice that 37 = HCF(74,37) = HCF(259,74) = HCF(333,259) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 684 > 37, we apply the division lemma to 684 and 37, to get
684 = 37 x 18 + 18
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 18 and 37, to get
37 = 18 x 2 + 1
Step 3: We consider the new divisor 18 and the new remainder 1, and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 684 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(684,37) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 187 > 1, we apply the division lemma to 187 and 1, to get
187 = 1 x 187 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 187 is 1
Notice that 1 = HCF(187,1) .
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Frequently Asked Questions on HCF of 259, 333, 684, 187 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 259, 333, 684, 187?
Answer: HCF of 259, 333, 684, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 259, 333, 684, 187 using Euclid's Algorithm?
Answer: For arbitrary numbers 259, 333, 684, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.