Highest Common Factor of 343, 935, 431, 74 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, 935, 431, 74 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 343, 935, 431, 74 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, 935, 431, 74 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, 935, 431, 74 is 1.
HCF(343, 935, 431, 74) = 1
HCF of 343, 935, 431, 74 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, 935, 431, 74 is 1.
Highest Common Factor of 343,935,431,74 is 1
Step 1: Since 935 > 343, we apply the division lemma to 935 and 343, to get
935 = 343 x 2 + 249
Step 2: Since the reminder 343 ≠ 0, we apply division lemma to 249 and 343, to get
343 = 249 x 1 + 94
Step 3: We consider the new divisor 249 and the new remainder 94, and apply the division lemma to get
249 = 94 x 2 + 61
We consider the new divisor 94 and the new remainder 61,and apply the division lemma to get
94 = 61 x 1 + 33
We consider the new divisor 61 and the new remainder 33,and apply the division lemma to get
61 = 33 x 1 + 28
We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get
33 = 28 x 1 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 935 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(61,33) = HCF(94,61) = HCF(249,94) = HCF(343,249) = HCF(935,343) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 431 > 1, we apply the division lemma to 431 and 1, to get
431 = 1 x 431 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 431 is 1
Notice that 1 = HCF(431,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74 > 1, we apply the division lemma to 74 and 1, to get
74 = 1 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74 is 1
Notice that 1 = HCF(74,1) .
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Frequently Asked Questions on HCF of 343, 935, 431, 74 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, 935, 431, 74?
Answer: HCF of 343, 935, 431, 74 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 343, 935, 431, 74 using Euclid's Algorithm?
Answer: For arbitrary numbers 343, 935, 431, 74 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
