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 5137, 4417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5137, 4417 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 5137, 4417 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 5137, 4417 is 1.
HCF(5137, 4417) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5137, 4417 is 1.
Step 1: Since 5137 > 4417, we apply the division lemma to 5137 and 4417, to get
5137 = 4417 x 1 + 720
Step 2: Since the reminder 4417 ≠ 0, we apply division lemma to 720 and 4417, to get
4417 = 720 x 6 + 97
Step 3: We consider the new divisor 720 and the new remainder 97, and apply the division lemma to get
720 = 97 x 7 + 41
We consider the new divisor 97 and the new remainder 41,and apply the division lemma to get
97 = 41 x 2 + 15
We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get
41 = 15 x 2 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5137 and 4417 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(97,41) = HCF(720,97) = HCF(4417,720) = HCF(5137,4417) .
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 5137, 4417?
Answer: HCF of 5137, 4417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5137, 4417 using Euclid's Algorithm?
Answer: For arbitrary numbers 5137, 4417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.