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 5307, 6217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5307, 6217 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 5307, 6217 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 5307, 6217 is 1.
HCF(5307, 6217) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5307, 6217 is 1.
Step 1: Since 6217 > 5307, we apply the division lemma to 6217 and 5307, to get
6217 = 5307 x 1 + 910
Step 2: Since the reminder 5307 ≠ 0, we apply division lemma to 910 and 5307, to get
5307 = 910 x 5 + 757
Step 3: We consider the new divisor 910 and the new remainder 757, and apply the division lemma to get
910 = 757 x 1 + 153
We consider the new divisor 757 and the new remainder 153,and apply the division lemma to get
757 = 153 x 4 + 145
We consider the new divisor 153 and the new remainder 145,and apply the division lemma to get
153 = 145 x 1 + 8
We consider the new divisor 145 and the new remainder 8,and apply the division lemma to get
145 = 8 x 18 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5307 and 6217 is 1
Notice that 1 = HCF(8,1) = HCF(145,8) = HCF(153,145) = HCF(757,153) = HCF(910,757) = HCF(5307,910) = HCF(6217,5307) .
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 5307, 6217?
Answer: HCF of 5307, 6217 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5307, 6217 using Euclid's Algorithm?
Answer: For arbitrary numbers 5307, 6217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.