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 9218, 8528 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9218, 8528 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 9218, 8528 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 9218, 8528 is 2.
HCF(9218, 8528) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9218, 8528 is 2.
Step 1: Since 9218 > 8528, we apply the division lemma to 9218 and 8528, to get
9218 = 8528 x 1 + 690
Step 2: Since the reminder 8528 ≠ 0, we apply division lemma to 690 and 8528, to get
8528 = 690 x 12 + 248
Step 3: We consider the new divisor 690 and the new remainder 248, and apply the division lemma to get
690 = 248 x 2 + 194
We consider the new divisor 248 and the new remainder 194,and apply the division lemma to get
248 = 194 x 1 + 54
We consider the new divisor 194 and the new remainder 54,and apply the division lemma to get
194 = 54 x 3 + 32
We consider the new divisor 54 and the new remainder 32,and apply the division lemma to get
54 = 32 x 1 + 22
We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get
32 = 22 x 1 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9218 and 8528 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(54,32) = HCF(194,54) = HCF(248,194) = HCF(690,248) = HCF(8528,690) = HCF(9218,8528) .
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 9218, 8528?
Answer: HCF of 9218, 8528 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9218, 8528 using Euclid's Algorithm?
Answer: For arbitrary numbers 9218, 8528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.