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 6437, 9737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6437, 9737 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 6437, 9737 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 6437, 9737 is 1.
HCF(6437, 9737) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6437, 9737 is 1.
Step 1: Since 9737 > 6437, we apply the division lemma to 9737 and 6437, to get
9737 = 6437 x 1 + 3300
Step 2: Since the reminder 6437 ≠ 0, we apply division lemma to 3300 and 6437, to get
6437 = 3300 x 1 + 3137
Step 3: We consider the new divisor 3300 and the new remainder 3137, and apply the division lemma to get
3300 = 3137 x 1 + 163
We consider the new divisor 3137 and the new remainder 163,and apply the division lemma to get
3137 = 163 x 19 + 40
We consider the new divisor 163 and the new remainder 40,and apply the division lemma to get
163 = 40 x 4 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 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 6437 and 9737 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(163,40) = HCF(3137,163) = HCF(3300,3137) = HCF(6437,3300) = HCF(9737,6437) .
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 6437, 9737?
Answer: HCF of 6437, 9737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6437, 9737 using Euclid's Algorithm?
Answer: For arbitrary numbers 6437, 9737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.