Highest Common Factor of 656, 889, 359 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 656, 889, 359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 656, 889, 359 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 656, 889, 359 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 656, 889, 359 is 1.
HCF(656, 889, 359) = 1
HCF of 656, 889, 359 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 656, 889, 359 is 1.
Highest Common Factor of 656,889,359 is 1
Step 1: Since 889 > 656, we apply the division lemma to 889 and 656, to get
889 = 656 x 1 + 233
Step 2: Since the reminder 656 ≠ 0, we apply division lemma to 233 and 656, to get
656 = 233 x 2 + 190
Step 3: We consider the new divisor 233 and the new remainder 190, and apply the division lemma to get
233 = 190 x 1 + 43
We consider the new divisor 190 and the new remainder 43,and apply the division lemma to get
190 = 43 x 4 + 18
We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get
43 = 18 x 2 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 656 and 889 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(190,43) = HCF(233,190) = HCF(656,233) = HCF(889,656) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 359 > 1, we apply the division lemma to 359 and 1, to get
359 = 1 x 359 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 359 is 1
Notice that 1 = HCF(359,1) .
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Frequently Asked Questions on HCF of 656, 889, 359 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 656, 889, 359?
Answer: HCF of 656, 889, 359 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 656, 889, 359 using Euclid's Algorithm?
Answer: For arbitrary numbers 656, 889, 359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.