Highest Common Factor of 552, 332, 310, 603 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 552, 332, 310, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 552, 332, 310, 603 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 552, 332, 310, 603 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 552, 332, 310, 603 is 1.
HCF(552, 332, 310, 603) = 1
HCF of 552, 332, 310, 603 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 552, 332, 310, 603 is 1.
Highest Common Factor of 552,332,310,603 is 1
Step 1: Since 552 > 332, we apply the division lemma to 552 and 332, to get
552 = 332 x 1 + 220
Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 220 and 332, to get
332 = 220 x 1 + 112
Step 3: We consider the new divisor 220 and the new remainder 112, and apply the division lemma to get
220 = 112 x 1 + 108
We consider the new divisor 112 and the new remainder 108,and apply the division lemma to get
112 = 108 x 1 + 4
We consider the new divisor 108 and the new remainder 4,and apply the division lemma to get
108 = 4 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 552 and 332 is 4
Notice that 4 = HCF(108,4) = HCF(112,108) = HCF(220,112) = HCF(332,220) = HCF(552,332) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 310 > 4, we apply the division lemma to 310 and 4, to get
310 = 4 x 77 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 310 is 2
Notice that 2 = HCF(4,2) = HCF(310,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 603 > 2, we apply the division lemma to 603 and 2, to get
603 = 2 x 301 + 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 603 is 1
Notice that 1 = HCF(2,1) = HCF(603,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 552, 332, 310, 603 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 552, 332, 310, 603?
Answer: HCF of 552, 332, 310, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 552, 332, 310, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 552, 332, 310, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.