Highest Common Factor of 970, 623, 232 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 970, 623, 232 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 970, 623, 232 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 970, 623, 232 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 970, 623, 232 is 1.
HCF(970, 623, 232) = 1
HCF of 970, 623, 232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 970, 623, 232 is 1.
Highest Common Factor of 970,623,232 is 1
Step 1: Since 970 > 623, we apply the division lemma to 970 and 623, to get
970 = 623 x 1 + 347
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 347 and 623, to get
623 = 347 x 1 + 276
Step 3: We consider the new divisor 347 and the new remainder 276, and apply the division lemma to get
347 = 276 x 1 + 71
We consider the new divisor 276 and the new remainder 71,and apply the division lemma to get
276 = 71 x 3 + 63
We consider the new divisor 71 and the new remainder 63,and apply the division lemma to get
71 = 63 x 1 + 8
We consider the new divisor 63 and the new remainder 8,and apply the division lemma to get
63 = 8 x 7 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 970 and 623 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(63,8) = HCF(71,63) = HCF(276,71) = HCF(347,276) = HCF(623,347) = HCF(970,623) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 232 > 1, we apply the division lemma to 232 and 1, to get
232 = 1 x 232 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 232 is 1
Notice that 1 = HCF(232,1) .
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Frequently Asked Questions on HCF of 970, 623, 232 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 970, 623, 232?
Answer: HCF of 970, 623, 232 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 970, 623, 232 using Euclid's Algorithm?
Answer: For arbitrary numbers 970, 623, 232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.