Highest Common Factor of 758, 893, 583, 816 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 758, 893, 583, 816 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 758, 893, 583, 816 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 758, 893, 583, 816 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 758, 893, 583, 816 is 1.
HCF(758, 893, 583, 816) = 1
HCF of 758, 893, 583, 816 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 758, 893, 583, 816 is 1.
Highest Common Factor of 758,893,583,816 is 1
Step 1: Since 893 > 758, we apply the division lemma to 893 and 758, to get
893 = 758 x 1 + 135
Step 2: Since the reminder 758 ≠ 0, we apply division lemma to 135 and 758, to get
758 = 135 x 5 + 83
Step 3: We consider the new divisor 135 and the new remainder 83, and apply the division lemma to get
135 = 83 x 1 + 52
We consider the new divisor 83 and the new remainder 52,and apply the division lemma to get
83 = 52 x 1 + 31
We consider the new divisor 52 and the new remainder 31,and apply the division lemma to get
52 = 31 x 1 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 758 and 893 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(52,31) = HCF(83,52) = HCF(135,83) = HCF(758,135) = HCF(893,758) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 583 > 1, we apply the division lemma to 583 and 1, to get
583 = 1 x 583 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 583 is 1
Notice that 1 = HCF(583,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 816 > 1, we apply the division lemma to 816 and 1, to get
816 = 1 x 816 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 816 is 1
Notice that 1 = HCF(816,1) .
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Frequently Asked Questions on HCF of 758, 893, 583, 816 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 758, 893, 583, 816?
Answer: HCF of 758, 893, 583, 816 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 758, 893, 583, 816 using Euclid's Algorithm?
Answer: For arbitrary numbers 758, 893, 583, 816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.