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 8457, 6003 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8457, 6003 is 3 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 8457, 6003 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 8457, 6003 is 3.
HCF(8457, 6003) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8457, 6003 is 3.
Step 1: Since 8457 > 6003, we apply the division lemma to 8457 and 6003, to get
8457 = 6003 x 1 + 2454
Step 2: Since the reminder 6003 ≠ 0, we apply division lemma to 2454 and 6003, to get
6003 = 2454 x 2 + 1095
Step 3: We consider the new divisor 2454 and the new remainder 1095, and apply the division lemma to get
2454 = 1095 x 2 + 264
We consider the new divisor 1095 and the new remainder 264,and apply the division lemma to get
1095 = 264 x 4 + 39
We consider the new divisor 264 and the new remainder 39,and apply the division lemma to get
264 = 39 x 6 + 30
We consider the new divisor 39 and the new remainder 30,and apply the division lemma to get
39 = 30 x 1 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8457 and 6003 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(39,30) = HCF(264,39) = HCF(1095,264) = HCF(2454,1095) = HCF(6003,2454) = HCF(8457,6003) .
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 8457, 6003?
Answer: HCF of 8457, 6003 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8457, 6003 using Euclid's Algorithm?
Answer: For arbitrary numbers 8457, 6003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.