Highest Common Factor of 356, 4450, 9540 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 356, 4450, 9540 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 356, 4450, 9540 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 356, 4450, 9540 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 356, 4450, 9540 is 2.
HCF(356, 4450, 9540) = 2
HCF of 356, 4450, 9540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 356, 4450, 9540 is 2.
Highest Common Factor of 356,4450,9540 is 2
Step 1: Since 4450 > 356, we apply the division lemma to 4450 and 356, to get
4450 = 356 x 12 + 178
Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 178 and 356, to get
356 = 178 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 178, the HCF of 356 and 4450 is 178
Notice that 178 = HCF(356,178) = HCF(4450,356) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9540 > 178, we apply the division lemma to 9540 and 178, to get
9540 = 178 x 53 + 106
Step 2: Since the reminder 178 ≠ 0, we apply division lemma to 106 and 178, to get
178 = 106 x 1 + 72
Step 3: We consider the new divisor 106 and the new remainder 72, and apply the division lemma to get
106 = 72 x 1 + 34
We consider the new divisor 72 and the new remainder 34,and apply the division lemma to get
72 = 34 x 2 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 178 and 9540 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(72,34) = HCF(106,72) = HCF(178,106) = HCF(9540,178) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 356, 4450, 9540 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 356, 4450, 9540?
Answer: HCF of 356, 4450, 9540 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 356, 4450, 9540 using Euclid's Algorithm?
Answer: For arbitrary numbers 356, 4450, 9540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.