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 351, 608 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 608 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 351, 608 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 351, 608 is 1.
HCF(351, 608) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 351, 608 is 1.
Step 1: Since 608 > 351, we apply the division lemma to 608 and 351, to get
608 = 351 x 1 + 257
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 257 and 351, to get
351 = 257 x 1 + 94
Step 3: We consider the new divisor 257 and the new remainder 94, and apply the division lemma to get
257 = 94 x 2 + 69
We consider the new divisor 94 and the new remainder 69,and apply the division lemma to get
94 = 69 x 1 + 25
We consider the new divisor 69 and the new remainder 25,and apply the division lemma to get
69 = 25 x 2 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 351 and 608 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(69,25) = HCF(94,69) = HCF(257,94) = HCF(351,257) = HCF(608,351) .
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 351, 608?
Answer: HCF of 351, 608 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 608 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.