Highest Common Factor of 895, 541, 259 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 895, 541, 259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 895, 541, 259 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 895, 541, 259 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 895, 541, 259 is 1.
HCF(895, 541, 259) = 1
HCF of 895, 541, 259 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 895, 541, 259 is 1.
Highest Common Factor of 895,541,259 is 1
Step 1: Since 895 > 541, we apply the division lemma to 895 and 541, to get
895 = 541 x 1 + 354
Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 354 and 541, to get
541 = 354 x 1 + 187
Step 3: We consider the new divisor 354 and the new remainder 187, and apply the division lemma to get
354 = 187 x 1 + 167
We consider the new divisor 187 and the new remainder 167,and apply the division lemma to get
187 = 167 x 1 + 20
We consider the new divisor 167 and the new remainder 20,and apply the division lemma to get
167 = 20 x 8 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 895 and 541 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(167,20) = HCF(187,167) = HCF(354,187) = HCF(541,354) = HCF(895,541) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 259 > 1, we apply the division lemma to 259 and 1, to get
259 = 1 x 259 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 259 is 1
Notice that 1 = HCF(259,1) .
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Frequently Asked Questions on HCF of 895, 541, 259 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 895, 541, 259?
Answer: HCF of 895, 541, 259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 895, 541, 259 using Euclid's Algorithm?
Answer: For arbitrary numbers 895, 541, 259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.