Highest Common Factor of 304, 410, 439, 35 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 304, 410, 439, 35 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 304, 410, 439, 35 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 304, 410, 439, 35 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 304, 410, 439, 35 is 1.
HCF(304, 410, 439, 35) = 1
HCF of 304, 410, 439, 35 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 304, 410, 439, 35 is 1.
Highest Common Factor of 304,410,439,35 is 1
Step 1: Since 410 > 304, we apply the division lemma to 410 and 304, to get
410 = 304 x 1 + 106
Step 2: Since the reminder 304 ≠ 0, we apply division lemma to 106 and 304, to get
304 = 106 x 2 + 92
Step 3: We consider the new divisor 106 and the new remainder 92, and apply the division lemma to get
106 = 92 x 1 + 14
We consider the new divisor 92 and the new remainder 14,and apply the division lemma to get
92 = 14 x 6 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 304 and 410 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(92,14) = HCF(106,92) = HCF(304,106) = HCF(410,304) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 439 > 2, we apply the division lemma to 439 and 2, to get
439 = 2 x 219 + 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 439 is 1
Notice that 1 = HCF(2,1) = HCF(439,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35 > 1, we apply the division lemma to 35 and 1, to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35 is 1
Notice that 1 = HCF(35,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 304, 410, 439, 35 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 304, 410, 439, 35?
Answer: HCF of 304, 410, 439, 35 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 304, 410, 439, 35 using Euclid's Algorithm?
Answer: For arbitrary numbers 304, 410, 439, 35 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
