Highest Common Factor of 965, 707, 914 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 965, 707, 914 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 707, 914 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 965, 707, 914 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 965, 707, 914 is 1.
HCF(965, 707, 914) = 1
HCF of 965, 707, 914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 707, 914 is 1.
Highest Common Factor of 965,707,914 is 1
Step 1: Since 965 > 707, we apply the division lemma to 965 and 707, to get
965 = 707 x 1 + 258
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 258 and 707, to get
707 = 258 x 2 + 191
Step 3: We consider the new divisor 258 and the new remainder 191, and apply the division lemma to get
258 = 191 x 1 + 67
We consider the new divisor 191 and the new remainder 67,and apply the division lemma to get
191 = 67 x 2 + 57
We consider the new divisor 67 and the new remainder 57,and apply the division lemma to get
67 = 57 x 1 + 10
We consider the new divisor 57 and the new remainder 10,and apply the division lemma to get
57 = 10 x 5 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 965 and 707 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(67,57) = HCF(191,67) = HCF(258,191) = HCF(707,258) = HCF(965,707) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 914 > 1, we apply the division lemma to 914 and 1, to get
914 = 1 x 914 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 914 is 1
Notice that 1 = HCF(914,1) .
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Frequently Asked Questions on HCF of 965, 707, 914 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 965, 707, 914?
Answer: HCF of 965, 707, 914 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 707, 914 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 707, 914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.