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 5205, 7346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5205, 7346 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 5205, 7346 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 5205, 7346 is 1.
HCF(5205, 7346) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5205, 7346 is 1.
Step 1: Since 7346 > 5205, we apply the division lemma to 7346 and 5205, to get
7346 = 5205 x 1 + 2141
Step 2: Since the reminder 5205 ≠ 0, we apply division lemma to 2141 and 5205, to get
5205 = 2141 x 2 + 923
Step 3: We consider the new divisor 2141 and the new remainder 923, and apply the division lemma to get
2141 = 923 x 2 + 295
We consider the new divisor 923 and the new remainder 295,and apply the division lemma to get
923 = 295 x 3 + 38
We consider the new divisor 295 and the new remainder 38,and apply the division lemma to get
295 = 38 x 7 + 29
We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get
38 = 29 x 1 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5205 and 7346 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(295,38) = HCF(923,295) = HCF(2141,923) = HCF(5205,2141) = HCF(7346,5205) .
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 5205, 7346?
Answer: HCF of 5205, 7346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5205, 7346 using Euclid's Algorithm?
Answer: For arbitrary numbers 5205, 7346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.