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 759, 627, 952 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 759, 627, 952 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 759, 627, 952 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 759, 627, 952 is 1.
HCF(759, 627, 952) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 759, 627, 952 is 1.
Step 1: Since 759 > 627, we apply the division lemma to 759 and 627, to get
759 = 627 x 1 + 132
Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 132 and 627, to get
627 = 132 x 4 + 99
Step 3: We consider the new divisor 132 and the new remainder 99, and apply the division lemma to get
132 = 99 x 1 + 33
We consider the new divisor 99 and the new remainder 33, and apply the division lemma to get
99 = 33 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 759 and 627 is 33
Notice that 33 = HCF(99,33) = HCF(132,99) = HCF(627,132) = HCF(759,627) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 952 > 33, we apply the division lemma to 952 and 33, to get
952 = 33 x 28 + 28
Step 2: Since the reminder 33 ≠ 0, we apply division lemma to 28 and 33, to get
33 = 28 x 1 + 5
Step 3: We consider the new divisor 28 and the new remainder 5, and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 33 and 952 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(952,33) .
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 759, 627, 952?
Answer: HCF of 759, 627, 952 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 759, 627, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 759, 627, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.