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 9846, 7194 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 9846, 7194 is 6 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 9846, 7194 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 9846, 7194 is 6.
HCF(9846, 7194) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9846, 7194 is 6.
Step 1: Since 9846 > 7194, we apply the division lemma to 9846 and 7194, to get
9846 = 7194 x 1 + 2652
Step 2: Since the reminder 7194 ≠ 0, we apply division lemma to 2652 and 7194, to get
7194 = 2652 x 2 + 1890
Step 3: We consider the new divisor 2652 and the new remainder 1890, and apply the division lemma to get
2652 = 1890 x 1 + 762
We consider the new divisor 1890 and the new remainder 762,and apply the division lemma to get
1890 = 762 x 2 + 366
We consider the new divisor 762 and the new remainder 366,and apply the division lemma to get
762 = 366 x 2 + 30
We consider the new divisor 366 and the new remainder 30,and apply the division lemma to get
366 = 30 x 12 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 9846 and 7194 is 6
Notice that 6 = HCF(30,6) = HCF(366,30) = HCF(762,366) = HCF(1890,762) = HCF(2652,1890) = HCF(7194,2652) = HCF(9846,7194) .
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 9846, 7194?
Answer: HCF of 9846, 7194 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9846, 7194 using Euclid's Algorithm?
Answer: For arbitrary numbers 9846, 7194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.