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 355, 9104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 355, 9104 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 355, 9104 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 355, 9104 is 1.
HCF(355, 9104) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 355, 9104 is 1.
Step 1: Since 9104 > 355, we apply the division lemma to 9104 and 355, to get
9104 = 355 x 25 + 229
Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 229 and 355, to get
355 = 229 x 1 + 126
Step 3: We consider the new divisor 229 and the new remainder 126, and apply the division lemma to get
229 = 126 x 1 + 103
We consider the new divisor 126 and the new remainder 103,and apply the division lemma to get
126 = 103 x 1 + 23
We consider the new divisor 103 and the new remainder 23,and apply the division lemma to get
103 = 23 x 4 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 355 and 9104 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(103,23) = HCF(126,103) = HCF(229,126) = HCF(355,229) = HCF(9104,355) .
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 355, 9104?
Answer: HCF of 355, 9104 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 355, 9104 using Euclid's Algorithm?
Answer: For arbitrary numbers 355, 9104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.