Highest Common Factor of 318, 496, 63, 839 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 318, 496, 63, 839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 318, 496, 63, 839 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 318, 496, 63, 839 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 318, 496, 63, 839 is 1.
HCF(318, 496, 63, 839) = 1
HCF of 318, 496, 63, 839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 318, 496, 63, 839 is 1.
Highest Common Factor of 318,496,63,839 is 1
Step 1: Since 496 > 318, we apply the division lemma to 496 and 318, to get
496 = 318 x 1 + 178
Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 178 and 318, to get
318 = 178 x 1 + 140
Step 3: We consider the new divisor 178 and the new remainder 140, and apply the division lemma to get
178 = 140 x 1 + 38
We consider the new divisor 140 and the new remainder 38,and apply the division lemma to get
140 = 38 x 3 + 26
We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get
38 = 26 x 1 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 318 and 496 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(140,38) = HCF(178,140) = HCF(318,178) = HCF(496,318) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63 > 2, we apply the division lemma to 63 and 2, to get
63 = 2 x 31 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 63 is 1
Notice that 1 = HCF(2,1) = HCF(63,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 839 > 1, we apply the division lemma to 839 and 1, to get
839 = 1 x 839 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 839 is 1
Notice that 1 = HCF(839,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 318, 496, 63, 839 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 318, 496, 63, 839?
Answer: HCF of 318, 496, 63, 839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 318, 496, 63, 839 using Euclid's Algorithm?
Answer: For arbitrary numbers 318, 496, 63, 839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.