Highest Common Factor of 1788, 1041, 91602 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 1788, 1041, 91602 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1788, 1041, 91602 is 3 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 1788, 1041, 91602 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 1788, 1041, 91602 is 3.
HCF(1788, 1041, 91602) = 3
HCF of 1788, 1041, 91602 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1788, 1041, 91602 is 3.
Highest Common Factor of 1788,1041,91602 is 3
Step 1: Since 1788 > 1041, we apply the division lemma to 1788 and 1041, to get
1788 = 1041 x 1 + 747
Step 2: Since the reminder 1041 ≠ 0, we apply division lemma to 747 and 1041, to get
1041 = 747 x 1 + 294
Step 3: We consider the new divisor 747 and the new remainder 294, and apply the division lemma to get
747 = 294 x 2 + 159
We consider the new divisor 294 and the new remainder 159,and apply the division lemma to get
294 = 159 x 1 + 135
We consider the new divisor 159 and the new remainder 135,and apply the division lemma to get
159 = 135 x 1 + 24
We consider the new divisor 135 and the new remainder 24,and apply the division lemma to get
135 = 24 x 5 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1788 and 1041 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(135,24) = HCF(159,135) = HCF(294,159) = HCF(747,294) = HCF(1041,747) = HCF(1788,1041) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 91602 > 3, we apply the division lemma to 91602 and 3, to get
91602 = 3 x 30534 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 91602 is 3
Notice that 3 = HCF(91602,3) .
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Frequently Asked Questions on HCF of 1788, 1041, 91602 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 1788, 1041, 91602?
Answer: HCF of 1788, 1041, 91602 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1788, 1041, 91602 using Euclid's Algorithm?
Answer: For arbitrary numbers 1788, 1041, 91602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.