Highest Common Factor of 536, 672, 934, 157 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 536, 672, 934, 157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 672, 934, 157 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 536, 672, 934, 157 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 536, 672, 934, 157 is 1.
HCF(536, 672, 934, 157) = 1
HCF of 536, 672, 934, 157 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 536, 672, 934, 157 is 1.
Highest Common Factor of 536,672,934,157 is 1
Step 1: Since 672 > 536, we apply the division lemma to 672 and 536, to get
672 = 536 x 1 + 136
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 136 and 536, to get
536 = 136 x 3 + 128
Step 3: We consider the new divisor 136 and the new remainder 128, and apply the division lemma to get
136 = 128 x 1 + 8
We consider the new divisor 128 and the new remainder 8, and apply the division lemma to get
128 = 8 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 536 and 672 is 8
Notice that 8 = HCF(128,8) = HCF(136,128) = HCF(536,136) = HCF(672,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 934 > 8, we apply the division lemma to 934 and 8, to get
934 = 8 x 116 + 6
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 6 and 8, to get
8 = 6 x 1 + 2
Step 3: We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 934 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(934,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 157 > 2, we apply the division lemma to 157 and 2, to get
157 = 2 x 78 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 157 is 1
Notice that 1 = HCF(2,1) = HCF(157,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 536, 672, 934, 157 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 536, 672, 934, 157?
Answer: HCF of 536, 672, 934, 157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 672, 934, 157 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 672, 934, 157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.