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 7396, 6845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7396, 6845 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 7396, 6845 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 7396, 6845 is 1.
HCF(7396, 6845) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7396, 6845 is 1.
Step 1: Since 7396 > 6845, we apply the division lemma to 7396 and 6845, to get
7396 = 6845 x 1 + 551
Step 2: Since the reminder 6845 ≠ 0, we apply division lemma to 551 and 6845, to get
6845 = 551 x 12 + 233
Step 3: We consider the new divisor 551 and the new remainder 233, and apply the division lemma to get
551 = 233 x 2 + 85
We consider the new divisor 233 and the new remainder 85,and apply the division lemma to get
233 = 85 x 2 + 63
We consider the new divisor 85 and the new remainder 63,and apply the division lemma to get
85 = 63 x 1 + 22
We consider the new divisor 63 and the new remainder 22,and apply the division lemma to get
63 = 22 x 2 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7396 and 6845 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(63,22) = HCF(85,63) = HCF(233,85) = HCF(551,233) = HCF(6845,551) = HCF(7396,6845) .
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 7396, 6845?
Answer: HCF of 7396, 6845 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7396, 6845 using Euclid's Algorithm?
Answer: For arbitrary numbers 7396, 6845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.