Highest Common Factor of 859, 334, 894 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, 334, 894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 334, 894 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, 334, 894 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, 334, 894 is 1.
HCF(859, 334, 894) = 1
HCF of 859, 334, 894 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, 334, 894 is 1.
Highest Common Factor of 859,334,894 is 1
Step 1: Since 859 > 334, we apply the division lemma to 859 and 334, to get
859 = 334 x 2 + 191
Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 191 and 334, to get
334 = 191 x 1 + 143
Step 3: We consider the new divisor 191 and the new remainder 143, and apply the division lemma to get
191 = 143 x 1 + 48
We consider the new divisor 143 and the new remainder 48,and apply the division lemma to get
143 = 48 x 2 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 859 and 334 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(143,48) = HCF(191,143) = HCF(334,191) = HCF(859,334) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 894 > 1, we apply the division lemma to 894 and 1, to get
894 = 1 x 894 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 894 is 1
Notice that 1 = HCF(894,1) .
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Frequently Asked Questions on HCF of 859, 334, 894 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, 334, 894?
Answer: HCF of 859, 334, 894 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 334, 894 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 334, 894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.