Highest Common Factor of 852, 491, 913 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 852, 491, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 852, 491, 913 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 852, 491, 913 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 852, 491, 913 is 1.
HCF(852, 491, 913) = 1
HCF of 852, 491, 913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 852, 491, 913 is 1.
Highest Common Factor of 852,491,913 is 1
Step 1: Since 852 > 491, we apply the division lemma to 852 and 491, to get
852 = 491 x 1 + 361
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 361 and 491, to get
491 = 361 x 1 + 130
Step 3: We consider the new divisor 361 and the new remainder 130, and apply the division lemma to get
361 = 130 x 2 + 101
We consider the new divisor 130 and the new remainder 101,and apply the division lemma to get
130 = 101 x 1 + 29
We consider the new divisor 101 and the new remainder 29,and apply the division lemma to get
101 = 29 x 3 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 852 and 491 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(101,29) = HCF(130,101) = HCF(361,130) = HCF(491,361) = HCF(852,491) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 913 > 1, we apply the division lemma to 913 and 1, to get
913 = 1 x 913 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 913 is 1
Notice that 1 = HCF(913,1) .
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Frequently Asked Questions on HCF of 852, 491, 913 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 852, 491, 913?
Answer: HCF of 852, 491, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 852, 491, 913 using Euclid's Algorithm?
Answer: For arbitrary numbers 852, 491, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
