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 752, 35827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 752, 35827 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 752, 35827 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 752, 35827 is 1.
HCF(752, 35827) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 752, 35827 is 1.
Step 1: Since 35827 > 752, we apply the division lemma to 35827 and 752, to get
35827 = 752 x 47 + 483
Step 2: Since the reminder 752 ≠ 0, we apply division lemma to 483 and 752, to get
752 = 483 x 1 + 269
Step 3: We consider the new divisor 483 and the new remainder 269, and apply the division lemma to get
483 = 269 x 1 + 214
We consider the new divisor 269 and the new remainder 214,and apply the division lemma to get
269 = 214 x 1 + 55
We consider the new divisor 214 and the new remainder 55,and apply the division lemma to get
214 = 55 x 3 + 49
We consider the new divisor 55 and the new remainder 49,and apply the division lemma to get
55 = 49 x 1 + 6
We consider the new divisor 49 and the new remainder 6,and apply the division lemma to get
49 = 6 x 8 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 752 and 35827 is 1
Notice that 1 = HCF(6,1) = HCF(49,6) = HCF(55,49) = HCF(214,55) = HCF(269,214) = HCF(483,269) = HCF(752,483) = HCF(35827,752) .
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 752, 35827?
Answer: HCF of 752, 35827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 752, 35827 using Euclid's Algorithm?
Answer: For arbitrary numbers 752, 35827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.