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 338, 853, 458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 338, 853, 458 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 338, 853, 458 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 338, 853, 458 is 1.
HCF(338, 853, 458) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 338, 853, 458 is 1.
Step 1: Since 853 > 338, we apply the division lemma to 853 and 338, to get
853 = 338 x 2 + 177
Step 2: Since the reminder 338 ≠ 0, we apply division lemma to 177 and 338, to get
338 = 177 x 1 + 161
Step 3: We consider the new divisor 177 and the new remainder 161, and apply the division lemma to get
177 = 161 x 1 + 16
We consider the new divisor 161 and the new remainder 16,and apply the division lemma to get
161 = 16 x 10 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 338 and 853 is 1
Notice that 1 = HCF(16,1) = HCF(161,16) = HCF(177,161) = HCF(338,177) = HCF(853,338) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 458 > 1, we apply the division lemma to 458 and 1, to get
458 = 1 x 458 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 458 is 1
Notice that 1 = HCF(458,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 338, 853, 458?
Answer: HCF of 338, 853, 458 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 338, 853, 458 using Euclid's Algorithm?
Answer: For arbitrary numbers 338, 853, 458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.