Highest Common Factor of 951, 703, 32, 719 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 951, 703, 32, 719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 951, 703, 32, 719 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 951, 703, 32, 719 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 951, 703, 32, 719 is 1.
HCF(951, 703, 32, 719) = 1
HCF of 951, 703, 32, 719 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 951, 703, 32, 719 is 1.
Highest Common Factor of 951,703,32,719 is 1
Step 1: Since 951 > 703, we apply the division lemma to 951 and 703, to get
951 = 703 x 1 + 248
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 248 and 703, to get
703 = 248 x 2 + 207
Step 3: We consider the new divisor 248 and the new remainder 207, and apply the division lemma to get
248 = 207 x 1 + 41
We consider the new divisor 207 and the new remainder 41,and apply the division lemma to get
207 = 41 x 5 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 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 951 and 703 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(207,41) = HCF(248,207) = HCF(703,248) = HCF(951,703) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32 > 1, we apply the division lemma to 32 and 1, to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32 is 1
Notice that 1 = HCF(32,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 719 > 1, we apply the division lemma to 719 and 1, to get
719 = 1 x 719 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 719 is 1
Notice that 1 = HCF(719,1) .
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Frequently Asked Questions on HCF of 951, 703, 32, 719 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 951, 703, 32, 719?
Answer: HCF of 951, 703, 32, 719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 951, 703, 32, 719 using Euclid's Algorithm?
Answer: For arbitrary numbers 951, 703, 32, 719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.