Highest Common Factor of 336, 480, 481 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 336, 480, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 336, 480, 481 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 336, 480, 481 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 336, 480, 481 is 1.
HCF(336, 480, 481) = 1
HCF of 336, 480, 481 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 336, 480, 481 is 1.
Highest Common Factor of 336,480,481 is 1
Step 1: Since 480 > 336, we apply the division lemma to 480 and 336, to get
480 = 336 x 1 + 144
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 144 and 336, to get
336 = 144 x 2 + 48
Step 3: We consider the new divisor 144 and the new remainder 48, and apply the division lemma to get
144 = 48 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 336 and 480 is 48
Notice that 48 = HCF(144,48) = HCF(336,144) = HCF(480,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 481 > 48, we apply the division lemma to 481 and 48, to get
481 = 48 x 10 + 1
Step 2: Since the reminder 48 ≠ 0, we apply division lemma to 1 and 48, to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 48 and 481 is 1
Notice that 1 = HCF(48,1) = HCF(481,48) .
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Frequently Asked Questions on HCF of 336, 480, 481 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 336, 480, 481?
Answer: HCF of 336, 480, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 336, 480, 481 using Euclid's Algorithm?
Answer: For arbitrary numbers 336, 480, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.