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 9292, 8528, 46038 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9292, 8528, 46038 is 2 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 9292, 8528, 46038 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 9292, 8528, 46038 is 2.
HCF(9292, 8528, 46038) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9292, 8528, 46038 is 2.
Step 1: Since 9292 > 8528, we apply the division lemma to 9292 and 8528, to get
9292 = 8528 x 1 + 764
Step 2: Since the reminder 8528 ≠ 0, we apply division lemma to 764 and 8528, to get
8528 = 764 x 11 + 124
Step 3: We consider the new divisor 764 and the new remainder 124, and apply the division lemma to get
764 = 124 x 6 + 20
We consider the new divisor 124 and the new remainder 20,and apply the division lemma to get
124 = 20 x 6 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9292 and 8528 is 4
Notice that 4 = HCF(20,4) = HCF(124,20) = HCF(764,124) = HCF(8528,764) = HCF(9292,8528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46038 > 4, we apply the division lemma to 46038 and 4, to get
46038 = 4 x 11509 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 46038 is 2
Notice that 2 = HCF(4,2) = HCF(46038,4) .
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 9292, 8528, 46038?
Answer: HCF of 9292, 8528, 46038 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9292, 8528, 46038 using Euclid's Algorithm?
Answer: For arbitrary numbers 9292, 8528, 46038 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.