Highest Common Factor of 937, 6840, 2697 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, 6840, 2697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 937, 6840, 2697 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, 6840, 2697 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, 6840, 2697 is 1.
HCF(937, 6840, 2697) = 1
HCF of 937, 6840, 2697 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, 6840, 2697 is 1.
Highest Common Factor of 937,6840,2697 is 1
Step 1: Since 6840 > 937, we apply the division lemma to 6840 and 937, to get
6840 = 937 x 7 + 281
Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 281 and 937, to get
937 = 281 x 3 + 94
Step 3: We consider the new divisor 281 and the new remainder 94, and apply the division lemma to get
281 = 94 x 2 + 93
We consider the new divisor 94 and the new remainder 93,and apply the division lemma to get
94 = 93 x 1 + 1
We consider the new divisor 93 and the new remainder 1,and apply the division lemma to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 6840 is 1
Notice that 1 = HCF(93,1) = HCF(94,93) = HCF(281,94) = HCF(937,281) = HCF(6840,937) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2697 > 1, we apply the division lemma to 2697 and 1, to get
2697 = 1 x 2697 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2697 is 1
Notice that 1 = HCF(2697,1) .
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Frequently Asked Questions on HCF of 937, 6840, 2697 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, 6840, 2697?
Answer: HCF of 937, 6840, 2697 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 937, 6840, 2697 using Euclid's Algorithm?
Answer: For arbitrary numbers 937, 6840, 2697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
