Highest Common Factor of 1174, 9754 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 1174, 9754 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1174, 9754 is 2 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 1174, 9754 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 1174, 9754 is 2.
HCF(1174, 9754) = 2
HCF of 1174, 9754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1174, 9754 is 2.
Highest Common Factor of 1174,9754 is 2
Step 1: Since 9754 > 1174, we apply the division lemma to 9754 and 1174, to get
9754 = 1174 x 8 + 362
Step 2: Since the reminder 1174 ≠ 0, we apply division lemma to 362 and 1174, to get
1174 = 362 x 3 + 88
Step 3: We consider the new divisor 362 and the new remainder 88, and apply the division lemma to get
362 = 88 x 4 + 10
We consider the new divisor 88 and the new remainder 10,and apply the division lemma to get
88 = 10 x 8 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1174 and 9754 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(88,10) = HCF(362,88) = HCF(1174,362) = HCF(9754,1174) .
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Frequently Asked Questions on HCF of 1174, 9754 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 1174, 9754?
Answer: HCF of 1174, 9754 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1174, 9754 using Euclid's Algorithm?
Answer: For arbitrary numbers 1174, 9754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.