Highest Common Factor of 480, 795, 320, 50 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 480, 795, 320, 50 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 480, 795, 320, 50 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 480, 795, 320, 50 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 480, 795, 320, 50 is 5.
HCF(480, 795, 320, 50) = 5
HCF of 480, 795, 320, 50 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 480, 795, 320, 50 is 5.
Highest Common Factor of 480,795,320,50 is 5
Step 1: Since 795 > 480, we apply the division lemma to 795 and 480, to get
795 = 480 x 1 + 315
Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 315 and 480, to get
480 = 315 x 1 + 165
Step 3: We consider the new divisor 315 and the new remainder 165, and apply the division lemma to get
315 = 165 x 1 + 150
We consider the new divisor 165 and the new remainder 150,and apply the division lemma to get
165 = 150 x 1 + 15
We consider the new divisor 150 and the new remainder 15,and apply the division lemma to get
150 = 15 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 480 and 795 is 15
Notice that 15 = HCF(150,15) = HCF(165,150) = HCF(315,165) = HCF(480,315) = HCF(795,480) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 320 > 15, we apply the division lemma to 320 and 15, to get
320 = 15 x 21 + 5
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 5 and 15, to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 15 and 320 is 5
Notice that 5 = HCF(15,5) = HCF(320,15) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50 > 5, we apply the division lemma to 50 and 5, to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 50 is 5
Notice that 5 = HCF(50,5) .
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Frequently Asked Questions on HCF of 480, 795, 320, 50 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 480, 795, 320, 50?
Answer: HCF of 480, 795, 320, 50 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 480, 795, 320, 50 using Euclid's Algorithm?
Answer: For arbitrary numbers 480, 795, 320, 50 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.