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 6302, 3602 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6302, 3602 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 6302, 3602 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 6302, 3602 is 2.
HCF(6302, 3602) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6302, 3602 is 2.
Step 1: Since 6302 > 3602, we apply the division lemma to 6302 and 3602, to get
6302 = 3602 x 1 + 2700
Step 2: Since the reminder 3602 ≠ 0, we apply division lemma to 2700 and 3602, to get
3602 = 2700 x 1 + 902
Step 3: We consider the new divisor 2700 and the new remainder 902, and apply the division lemma to get
2700 = 902 x 2 + 896
We consider the new divisor 902 and the new remainder 896,and apply the division lemma to get
902 = 896 x 1 + 6
We consider the new divisor 896 and the new remainder 6,and apply the division lemma to get
896 = 6 x 149 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6302 and 3602 is 2
Notice that 2 = HCF(6,2) = HCF(896,6) = HCF(902,896) = HCF(2700,902) = HCF(3602,2700) = HCF(6302,3602) .
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 6302, 3602?
Answer: HCF of 6302, 3602 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6302, 3602 using Euclid's Algorithm?
Answer: For arbitrary numbers 6302, 3602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.