Highest Common Factor of 520, 8144, 4550 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 520, 8144, 4550 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 8144, 4550 is 2 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 520, 8144, 4550 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 520, 8144, 4550 is 2.
HCF(520, 8144, 4550) = 2
HCF of 520, 8144, 4550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 8144, 4550 is 2.
Highest Common Factor of 520,8144,4550 is 2
Step 1: Since 8144 > 520, we apply the division lemma to 8144 and 520, to get
8144 = 520 x 15 + 344
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 344 and 520, to get
520 = 344 x 1 + 176
Step 3: We consider the new divisor 344 and the new remainder 176, and apply the division lemma to get
344 = 176 x 1 + 168
We consider the new divisor 176 and the new remainder 168,and apply the division lemma to get
176 = 168 x 1 + 8
We consider the new divisor 168 and the new remainder 8,and apply the division lemma to get
168 = 8 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 520 and 8144 is 8
Notice that 8 = HCF(168,8) = HCF(176,168) = HCF(344,176) = HCF(520,344) = HCF(8144,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4550 > 8, we apply the division lemma to 4550 and 8, to get
4550 = 8 x 568 + 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 4550 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(4550,8) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 520, 8144, 4550 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 520, 8144, 4550?
Answer: HCF of 520, 8144, 4550 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 8144, 4550 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 8144, 4550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.