Highest Common Factor of 937, 6896 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 937, 6896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 937, 6896 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 937, 6896 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 937, 6896 is 1.
HCF(937, 6896) = 1
HCF of 937, 6896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 937, 6896 is 1.
Highest Common Factor of 937,6896 is 1
Step 1: Since 6896 > 937, we apply the division lemma to 6896 and 937, to get
6896 = 937 x 7 + 337
Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 337 and 937, to get
937 = 337 x 2 + 263
Step 3: We consider the new divisor 337 and the new remainder 263, and apply the division lemma to get
337 = 263 x 1 + 74
We consider the new divisor 263 and the new remainder 74,and apply the division lemma to get
263 = 74 x 3 + 41
We consider the new divisor 74 and the new remainder 41,and apply the division lemma to get
74 = 41 x 1 + 33
We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get
41 = 33 x 1 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 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 937 and 6896 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(74,41) = HCF(263,74) = HCF(337,263) = HCF(937,337) = HCF(6896,937) .
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Frequently Asked Questions on HCF of 937, 6896 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 937, 6896?
Answer: HCF of 937, 6896 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 937, 6896 using Euclid's Algorithm?
Answer: For arbitrary numbers 937, 6896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.