Highest Common Factor of 668, 851, 954, 16 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 668, 851, 954, 16 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 668, 851, 954, 16 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 668, 851, 954, 16 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 668, 851, 954, 16 is 1.
HCF(668, 851, 954, 16) = 1
HCF of 668, 851, 954, 16 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 668, 851, 954, 16 is 1.
Highest Common Factor of 668,851,954,16 is 1
Step 1: Since 851 > 668, we apply the division lemma to 851 and 668, to get
851 = 668 x 1 + 183
Step 2: Since the reminder 668 ≠ 0, we apply division lemma to 183 and 668, to get
668 = 183 x 3 + 119
Step 3: We consider the new divisor 183 and the new remainder 119, and apply the division lemma to get
183 = 119 x 1 + 64
We consider the new divisor 119 and the new remainder 64,and apply the division lemma to get
119 = 64 x 1 + 55
We consider the new divisor 64 and the new remainder 55,and apply the division lemma to get
64 = 55 x 1 + 9
We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get
55 = 9 x 6 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 668 and 851 is 1
Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(64,55) = HCF(119,64) = HCF(183,119) = HCF(668,183) = HCF(851,668) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 954 > 1, we apply the division lemma to 954 and 1, to get
954 = 1 x 954 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 954 is 1
Notice that 1 = HCF(954,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 1, we apply the division lemma to 16 and 1, to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16 is 1
Notice that 1 = HCF(16,1) .
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Frequently Asked Questions on HCF of 668, 851, 954, 16 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 668, 851, 954, 16?
Answer: HCF of 668, 851, 954, 16 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 668, 851, 954, 16 using Euclid's Algorithm?
Answer: For arbitrary numbers 668, 851, 954, 16 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.