Highest Common Factor of 735, 818, 328, 89 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 735, 818, 328, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 735, 818, 328, 89 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 735, 818, 328, 89 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 735, 818, 328, 89 is 1.
HCF(735, 818, 328, 89) = 1
HCF of 735, 818, 328, 89 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 735, 818, 328, 89 is 1.
Highest Common Factor of 735,818,328,89 is 1
Step 1: Since 818 > 735, we apply the division lemma to 818 and 735, to get
818 = 735 x 1 + 83
Step 2: Since the reminder 735 ≠ 0, we apply division lemma to 83 and 735, to get
735 = 83 x 8 + 71
Step 3: We consider the new divisor 83 and the new remainder 71, and apply the division lemma to get
83 = 71 x 1 + 12
We consider the new divisor 71 and the new remainder 12,and apply the division lemma to get
71 = 12 x 5 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 735 and 818 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(71,12) = HCF(83,71) = HCF(735,83) = HCF(818,735) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 328 > 1, we apply the division lemma to 328 and 1, to get
328 = 1 x 328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 328 is 1
Notice that 1 = HCF(328,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89 > 1, we apply the division lemma to 89 and 1, to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89 is 1
Notice that 1 = HCF(89,1) .
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Frequently Asked Questions on HCF of 735, 818, 328, 89 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 735, 818, 328, 89?
Answer: HCF of 735, 818, 328, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 735, 818, 328, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 735, 818, 328, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.