Highest Common Factor of 783, 566, 946, 13 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 783, 566, 946, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 566, 946, 13 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 783, 566, 946, 13 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 783, 566, 946, 13 is 1.
HCF(783, 566, 946, 13) = 1
HCF of 783, 566, 946, 13 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 566, 946, 13 is 1.
Highest Common Factor of 783,566,946,13 is 1
Step 1: Since 783 > 566, we apply the division lemma to 783 and 566, to get
783 = 566 x 1 + 217
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 217 and 566, to get
566 = 217 x 2 + 132
Step 3: We consider the new divisor 217 and the new remainder 132, and apply the division lemma to get
217 = 132 x 1 + 85
We consider the new divisor 132 and the new remainder 85,and apply the division lemma to get
132 = 85 x 1 + 47
We consider the new divisor 85 and the new remainder 47,and apply the division lemma to get
85 = 47 x 1 + 38
We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get
47 = 38 x 1 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 783 and 566 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(85,47) = HCF(132,85) = HCF(217,132) = HCF(566,217) = HCF(783,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 1, we apply the division lemma to 946 and 1, to get
946 = 1 x 946 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 946 is 1
Notice that 1 = HCF(946,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1
Notice that 1 = HCF(13,1) .
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Frequently Asked Questions on HCF of 783, 566, 946, 13 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 783, 566, 946, 13?
Answer: HCF of 783, 566, 946, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 566, 946, 13 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 566, 946, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.