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 9492, 5052 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 9492, 5052 is 12 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 9492, 5052 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 9492, 5052 is 12.
HCF(9492, 5052) = 12
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9492, 5052 is 12.
Step 1: Since 9492 > 5052, we apply the division lemma to 9492 and 5052, to get
9492 = 5052 x 1 + 4440
Step 2: Since the reminder 5052 ≠ 0, we apply division lemma to 4440 and 5052, to get
5052 = 4440 x 1 + 612
Step 3: We consider the new divisor 4440 and the new remainder 612, and apply the division lemma to get
4440 = 612 x 7 + 156
We consider the new divisor 612 and the new remainder 156,and apply the division lemma to get
612 = 156 x 3 + 144
We consider the new divisor 156 and the new remainder 144,and apply the division lemma to get
156 = 144 x 1 + 12
We consider the new divisor 144 and the new remainder 12,and apply the division lemma to get
144 = 12 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 9492 and 5052 is 12
Notice that 12 = HCF(144,12) = HCF(156,144) = HCF(612,156) = HCF(4440,612) = HCF(5052,4440) = HCF(9492,5052) .
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 9492, 5052?
Answer: HCF of 9492, 5052 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9492, 5052 using Euclid's Algorithm?
Answer: For arbitrary numbers 9492, 5052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.