Highest Common Factor of 955, 144, 509, 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 955, 144, 509, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 144, 509, 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 955, 144, 509, 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 955, 144, 509, 13 is 1.
HCF(955, 144, 509, 13) = 1
HCF of 955, 144, 509, 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 955, 144, 509, 13 is 1.
Highest Common Factor of 955,144,509,13 is 1
Step 1: Since 955 > 144, we apply the division lemma to 955 and 144, to get
955 = 144 x 6 + 91
Step 2: Since the reminder 144 ≠ 0, we apply division lemma to 91 and 144, to get
144 = 91 x 1 + 53
Step 3: We consider the new divisor 91 and the new remainder 53, and apply the division lemma to get
91 = 53 x 1 + 38
We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get
53 = 38 x 1 + 15
We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get
38 = 15 x 2 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 955 and 144 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(91,53) = HCF(144,91) = HCF(955,144) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 509 > 1, we apply the division lemma to 509 and 1, to get
509 = 1 x 509 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 509 is 1
Notice that 1 = HCF(509,1) .
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 955, 144, 509, 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 955, 144, 509, 13?
Answer: HCF of 955, 144, 509, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 144, 509, 13 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 144, 509, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.