Highest Common Factor of 958, 406, 314 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 958, 406, 314 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 958, 406, 314 is 2 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 958, 406, 314 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 958, 406, 314 is 2.
HCF(958, 406, 314) = 2
HCF of 958, 406, 314 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 958, 406, 314 is 2.
Highest Common Factor of 958,406,314 is 2
Step 1: Since 958 > 406, we apply the division lemma to 958 and 406, to get
958 = 406 x 2 + 146
Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 146 and 406, to get
406 = 146 x 2 + 114
Step 3: We consider the new divisor 146 and the new remainder 114, and apply the division lemma to get
146 = 114 x 1 + 32
We consider the new divisor 114 and the new remainder 32,and apply the division lemma to get
114 = 32 x 3 + 18
We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get
32 = 18 x 1 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 958 and 406 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(114,32) = HCF(146,114) = HCF(406,146) = HCF(958,406) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 314 > 2, we apply the division lemma to 314 and 2, to get
314 = 2 x 157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 314 is 2
Notice that 2 = HCF(314,2) .
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Frequently Asked Questions on HCF of 958, 406, 314 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 958, 406, 314?
Answer: HCF of 958, 406, 314 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 958, 406, 314 using Euclid's Algorithm?
Answer: For arbitrary numbers 958, 406, 314 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.