Highest Common Factor of 343, 966, 730 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, 966, 730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 343, 966, 730 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, 966, 730 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, 966, 730 is 1.
HCF(343, 966, 730) = 1
HCF of 343, 966, 730 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, 966, 730 is 1.
Highest Common Factor of 343,966,730 is 1
Step 1: Since 966 > 343, we apply the division lemma to 966 and 343, to get
966 = 343 x 2 + 280
Step 2: Since the reminder 343 ≠ 0, we apply division lemma to 280 and 343, to get
343 = 280 x 1 + 63
Step 3: We consider the new divisor 280 and the new remainder 63, and apply the division lemma to get
280 = 63 x 4 + 28
We consider the new divisor 63 and the new remainder 28,and apply the division lemma to get
63 = 28 x 2 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 343 and 966 is 7
Notice that 7 = HCF(28,7) = HCF(63,28) = HCF(280,63) = HCF(343,280) = HCF(966,343) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 730 > 7, we apply the division lemma to 730 and 7, to get
730 = 7 x 104 + 2
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get
7 = 2 x 3 + 1
Step 3: 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 7 and 730 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(730,7) .
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Frequently Asked Questions on HCF of 343, 966, 730 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, 966, 730?
Answer: HCF of 343, 966, 730 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 343, 966, 730 using Euclid's Algorithm?
Answer: For arbitrary numbers 343, 966, 730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.