Highest Common Factor of 707, 510, 693, 171 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 707, 510, 693, 171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 510, 693, 171 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 707, 510, 693, 171 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 707, 510, 693, 171 is 1.
HCF(707, 510, 693, 171) = 1
HCF of 707, 510, 693, 171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 510, 693, 171 is 1.
Highest Common Factor of 707,510,693,171 is 1
Step 1: Since 707 > 510, we apply the division lemma to 707 and 510, to get
707 = 510 x 1 + 197
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 197 and 510, to get
510 = 197 x 2 + 116
Step 3: We consider the new divisor 197 and the new remainder 116, and apply the division lemma to get
197 = 116 x 1 + 81
We consider the new divisor 116 and the new remainder 81,and apply the division lemma to get
116 = 81 x 1 + 35
We consider the new divisor 81 and the new remainder 35,and apply the division lemma to get
81 = 35 x 2 + 11
We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 707 and 510 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(81,35) = HCF(116,81) = HCF(197,116) = HCF(510,197) = HCF(707,510) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 693 > 1, we apply the division lemma to 693 and 1, to get
693 = 1 x 693 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 693 is 1
Notice that 1 = HCF(693,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 1, we apply the division lemma to 171 and 1, to get
171 = 1 x 171 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 171 is 1
Notice that 1 = HCF(171,1) .
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Frequently Asked Questions on HCF of 707, 510, 693, 171 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 707, 510, 693, 171?
Answer: HCF of 707, 510, 693, 171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 510, 693, 171 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 510, 693, 171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.