Highest Common Factor of 8754, 1046 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 8754, 1046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8754, 1046 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 8754, 1046 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 8754, 1046 is 2.
HCF(8754, 1046) = 2
HCF of 8754, 1046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8754, 1046 is 2.
Highest Common Factor of 8754,1046 is 2
Step 1: Since 8754 > 1046, we apply the division lemma to 8754 and 1046, to get
8754 = 1046 x 8 + 386
Step 2: Since the reminder 1046 ≠ 0, we apply division lemma to 386 and 1046, to get
1046 = 386 x 2 + 274
Step 3: We consider the new divisor 386 and the new remainder 274, and apply the division lemma to get
386 = 274 x 1 + 112
We consider the new divisor 274 and the new remainder 112,and apply the division lemma to get
274 = 112 x 2 + 50
We consider the new divisor 112 and the new remainder 50,and apply the division lemma to get
112 = 50 x 2 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8754 and 1046 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(112,50) = HCF(274,112) = HCF(386,274) = HCF(1046,386) = HCF(8754,1046) .
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Frequently Asked Questions on HCF of 8754, 1046 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 8754, 1046?
Answer: HCF of 8754, 1046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8754, 1046 using Euclid's Algorithm?
Answer: For arbitrary numbers 8754, 1046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.