Highest Common Factor of 274, 937 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 274, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 274, 937 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 274, 937 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 274, 937 is 1.
HCF(274, 937) = 1
HCF of 274, 937 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 274, 937 is 1.
Highest Common Factor of 274,937 is 1
Step 1: Since 937 > 274, we apply the division lemma to 937 and 274, to get
937 = 274 x 3 + 115
Step 2: Since the reminder 274 ≠ 0, we apply division lemma to 115 and 274, to get
274 = 115 x 2 + 44
Step 3: We consider the new divisor 115 and the new remainder 44, and apply the division lemma to get
115 = 44 x 2 + 27
We consider the new divisor 44 and the new remainder 27,and apply the division lemma to get
44 = 27 x 1 + 17
We consider the new divisor 27 and the new remainder 17,and apply the division lemma to get
27 = 17 x 1 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 274 and 937 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(27,17) = HCF(44,27) = HCF(115,44) = HCF(274,115) = HCF(937,274) .
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Frequently Asked Questions on HCF of 274, 937 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 274, 937?
Answer: HCF of 274, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 274, 937 using Euclid's Algorithm?
Answer: For arbitrary numbers 274, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.