Highest Common Factor of 859, 146, 919 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 859, 146, 919 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 146, 919 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 859, 146, 919 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 859, 146, 919 is 1.
HCF(859, 146, 919) = 1
HCF of 859, 146, 919 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 146, 919 is 1.
Highest Common Factor of 859,146,919 is 1
Step 1: Since 859 > 146, we apply the division lemma to 859 and 146, to get
859 = 146 x 5 + 129
Step 2: Since the reminder 146 ≠ 0, we apply division lemma to 129 and 146, to get
146 = 129 x 1 + 17
Step 3: We consider the new divisor 129 and the new remainder 17, and apply the division lemma to get
129 = 17 x 7 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 859 and 146 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(129,17) = HCF(146,129) = HCF(859,146) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 919 > 1, we apply the division lemma to 919 and 1, to get
919 = 1 x 919 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 919 is 1
Notice that 1 = HCF(919,1) .
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Frequently Asked Questions on HCF of 859, 146, 919 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 859, 146, 919?
Answer: HCF of 859, 146, 919 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 146, 919 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 146, 919 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.