Highest Common Factor of 632, 384, 488 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 632, 384, 488 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 632, 384, 488 is 8 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 632, 384, 488 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 632, 384, 488 is 8.
HCF(632, 384, 488) = 8
HCF of 632, 384, 488 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 632, 384, 488 is 8.
Highest Common Factor of 632,384,488 is 8
Step 1: Since 632 > 384, we apply the division lemma to 632 and 384, to get
632 = 384 x 1 + 248
Step 2: Since the reminder 384 ≠ 0, we apply division lemma to 248 and 384, to get
384 = 248 x 1 + 136
Step 3: We consider the new divisor 248 and the new remainder 136, and apply the division lemma to get
248 = 136 x 1 + 112
We consider the new divisor 136 and the new remainder 112,and apply the division lemma to get
136 = 112 x 1 + 24
We consider the new divisor 112 and the new remainder 24,and apply the division lemma to get
112 = 24 x 4 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 632 and 384 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(112,24) = HCF(136,112) = HCF(248,136) = HCF(384,248) = HCF(632,384) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 488 > 8, we apply the division lemma to 488 and 8, to get
488 = 8 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 488 is 8
Notice that 8 = HCF(488,8) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 632, 384, 488 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 632, 384, 488?
Answer: HCF of 632, 384, 488 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 632, 384, 488 using Euclid's Algorithm?
Answer: For arbitrary numbers 632, 384, 488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
