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 747, 51934 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 51934 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 747, 51934 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 747, 51934 is 1.
HCF(747, 51934) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 51934 is 1.
Step 1: Since 51934 > 747, we apply the division lemma to 51934 and 747, to get
51934 = 747 x 69 + 391
Step 2: Since the reminder 747 ≠ 0, we apply division lemma to 391 and 747, to get
747 = 391 x 1 + 356
Step 3: We consider the new divisor 391 and the new remainder 356, and apply the division lemma to get
391 = 356 x 1 + 35
We consider the new divisor 356 and the new remainder 35,and apply the division lemma to get
356 = 35 x 10 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 747 and 51934 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(356,35) = HCF(391,356) = HCF(747,391) = HCF(51934,747) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 747, 51934?
Answer: HCF of 747, 51934 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 51934 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 51934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.