Highest Common Factor of 350, 5530, 1465 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 350, 5530, 1465 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 350, 5530, 1465 is 5 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 350, 5530, 1465 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 350, 5530, 1465 is 5.
HCF(350, 5530, 1465) = 5
HCF of 350, 5530, 1465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 350, 5530, 1465 is 5.
Highest Common Factor of 350,5530,1465 is 5
Step 1: Since 5530 > 350, we apply the division lemma to 5530 and 350, to get
5530 = 350 x 15 + 280
Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 280 and 350, to get
350 = 280 x 1 + 70
Step 3: We consider the new divisor 280 and the new remainder 70, and apply the division lemma to get
280 = 70 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 350 and 5530 is 70
Notice that 70 = HCF(280,70) = HCF(350,280) = HCF(5530,350) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1465 > 70, we apply the division lemma to 1465 and 70, to get
1465 = 70 x 20 + 65
Step 2: Since the reminder 70 ≠ 0, we apply division lemma to 65 and 70, to get
70 = 65 x 1 + 5
Step 3: We consider the new divisor 65 and the new remainder 5, and apply the division lemma to get
65 = 5 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 70 and 1465 is 5
Notice that 5 = HCF(65,5) = HCF(70,65) = HCF(1465,70) .
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Frequently Asked Questions on HCF of 350, 5530, 1465 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 350, 5530, 1465?
Answer: HCF of 350, 5530, 1465 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 350, 5530, 1465 using Euclid's Algorithm?
Answer: For arbitrary numbers 350, 5530, 1465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.