Highest Common Factor of 6737, 9925 using Euclid's algorithm
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 6737, 9925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6737, 9925 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 6737, 9925 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 6737, 9925 is 1.
HCF(6737, 9925) = 1
HCF of 6737, 9925 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6737, 9925 is 1.
Highest Common Factor of 6737,9925 is 1
Step 1: Since 9925 > 6737, we apply the division lemma to 9925 and 6737, to get
9925 = 6737 x 1 + 3188
Step 2: Since the reminder 6737 ≠ 0, we apply division lemma to 3188 and 6737, to get
6737 = 3188 x 2 + 361
Step 3: We consider the new divisor 3188 and the new remainder 361, and apply the division lemma to get
3188 = 361 x 8 + 300
We consider the new divisor 361 and the new remainder 300,and apply the division lemma to get
361 = 300 x 1 + 61
We consider the new divisor 300 and the new remainder 61,and apply the division lemma to get
300 = 61 x 4 + 56
We consider the new divisor 61 and the new remainder 56,and apply the division lemma to get
61 = 56 x 1 + 5
We consider the new divisor 56 and the new remainder 5,and apply the division lemma to get
56 = 5 x 11 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6737 and 9925 is 1
Notice that 1 = HCF(5,1) = HCF(56,5) = HCF(61,56) = HCF(300,61) = HCF(361,300) = HCF(3188,361) = HCF(6737,3188) = HCF(9925,6737) .
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Frequently Asked Questions on HCF of 6737, 9925 using Euclid's Algorithm
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 6737, 9925?
Answer: HCF of 6737, 9925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6737, 9925 using Euclid's Algorithm?
Answer: For arbitrary numbers 6737, 9925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.