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 751, 92566 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 751, 92566 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 751, 92566 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 751, 92566 is 1.
HCF(751, 92566) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 751, 92566 is 1.
Step 1: Since 92566 > 751, we apply the division lemma to 92566 and 751, to get
92566 = 751 x 123 + 193
Step 2: Since the reminder 751 ≠ 0, we apply division lemma to 193 and 751, to get
751 = 193 x 3 + 172
Step 3: We consider the new divisor 193 and the new remainder 172, and apply the division lemma to get
193 = 172 x 1 + 21
We consider the new divisor 172 and the new remainder 21,and apply the division lemma to get
172 = 21 x 8 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 92566 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(172,21) = HCF(193,172) = HCF(751,193) = HCF(92566,751) .
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 751, 92566?
Answer: HCF of 751, 92566 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 751, 92566 using Euclid's Algorithm?
Answer: For arbitrary numbers 751, 92566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.