Highest Common Factor of 343, 568, 256, 35 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 343, 568, 256, 35 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 343, 568, 256, 35 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 343, 568, 256, 35 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 343, 568, 256, 35 is 1.
HCF(343, 568, 256, 35) = 1
HCF of 343, 568, 256, 35 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 343, 568, 256, 35 is 1.
Highest Common Factor of 343,568,256,35 is 1
Step 1: Since 568 > 343, we apply the division lemma to 568 and 343, to get
568 = 343 x 1 + 225
Step 2: Since the reminder 343 ≠ 0, we apply division lemma to 225 and 343, to get
343 = 225 x 1 + 118
Step 3: We consider the new divisor 225 and the new remainder 118, and apply the division lemma to get
225 = 118 x 1 + 107
We consider the new divisor 118 and the new remainder 107,and apply the division lemma to get
118 = 107 x 1 + 11
We consider the new divisor 107 and the new remainder 11,and apply the division lemma to get
107 = 11 x 9 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 343 and 568 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(107,11) = HCF(118,107) = HCF(225,118) = HCF(343,225) = HCF(568,343) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 256 > 1, we apply the division lemma to 256 and 1, to get
256 = 1 x 256 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 256 is 1
Notice that 1 = HCF(256,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35 > 1, we apply the division lemma to 35 and 1, to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35 is 1
Notice that 1 = HCF(35,1) .
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Frequently Asked Questions on HCF of 343, 568, 256, 35 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 343, 568, 256, 35?
Answer: HCF of 343, 568, 256, 35 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 343, 568, 256, 35 using Euclid's Algorithm?
Answer: For arbitrary numbers 343, 568, 256, 35 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.