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 9237, 3518 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9237, 3518 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 9237, 3518 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 9237, 3518 is 1.
HCF(9237, 3518) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9237, 3518 is 1.
Step 1: Since 9237 > 3518, we apply the division lemma to 9237 and 3518, to get
9237 = 3518 x 2 + 2201
Step 2: Since the reminder 3518 ≠ 0, we apply division lemma to 2201 and 3518, to get
3518 = 2201 x 1 + 1317
Step 3: We consider the new divisor 2201 and the new remainder 1317, and apply the division lemma to get
2201 = 1317 x 1 + 884
We consider the new divisor 1317 and the new remainder 884,and apply the division lemma to get
1317 = 884 x 1 + 433
We consider the new divisor 884 and the new remainder 433,and apply the division lemma to get
884 = 433 x 2 + 18
We consider the new divisor 433 and the new remainder 18,and apply the division lemma to get
433 = 18 x 24 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9237 and 3518 is 1
Notice that 1 = HCF(18,1) = HCF(433,18) = HCF(884,433) = HCF(1317,884) = HCF(2201,1317) = HCF(3518,2201) = HCF(9237,3518) .
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 9237, 3518?
Answer: HCF of 9237, 3518 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9237, 3518 using Euclid's Algorithm?
Answer: For arbitrary numbers 9237, 3518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.