Highest Common Factor of 455, 169, 752, 58 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 455, 169, 752, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 455, 169, 752, 58 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 455, 169, 752, 58 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 455, 169, 752, 58 is 1.
HCF(455, 169, 752, 58) = 1
HCF of 455, 169, 752, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 455, 169, 752, 58 is 1.
Highest Common Factor of 455,169,752,58 is 1
Step 1: Since 455 > 169, we apply the division lemma to 455 and 169, to get
455 = 169 x 2 + 117
Step 2: Since the reminder 169 ≠ 0, we apply division lemma to 117 and 169, to get
169 = 117 x 1 + 52
Step 3: We consider the new divisor 117 and the new remainder 52, and apply the division lemma to get
117 = 52 x 2 + 13
We consider the new divisor 52 and the new remainder 13, and apply the division lemma to get
52 = 13 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 455 and 169 is 13
Notice that 13 = HCF(52,13) = HCF(117,52) = HCF(169,117) = HCF(455,169) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 752 > 13, we apply the division lemma to 752 and 13, to get
752 = 13 x 57 + 11
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get
13 = 11 x 1 + 2
Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get
11 = 2 x 5 + 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 13 and 752 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(752,13) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 455, 169, 752, 58 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 455, 169, 752, 58?
Answer: HCF of 455, 169, 752, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 455, 169, 752, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 455, 169, 752, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.