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 535, 882, 738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 882, 738 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 535, 882, 738 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 535, 882, 738 is 1.
HCF(535, 882, 738) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 882, 738 is 1.
Step 1: Since 882 > 535, we apply the division lemma to 882 and 535, to get
882 = 535 x 1 + 347
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 347 and 535, to get
535 = 347 x 1 + 188
Step 3: We consider the new divisor 347 and the new remainder 188, and apply the division lemma to get
347 = 188 x 1 + 159
We consider the new divisor 188 and the new remainder 159,and apply the division lemma to get
188 = 159 x 1 + 29
We consider the new divisor 159 and the new remainder 29,and apply the division lemma to get
159 = 29 x 5 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 882 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(159,29) = HCF(188,159) = HCF(347,188) = HCF(535,347) = HCF(882,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 738 > 1, we apply the division lemma to 738 and 1, to get
738 = 1 x 738 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 738 is 1
Notice that 1 = HCF(738,1) .
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 535, 882, 738?
Answer: HCF of 535, 882, 738 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 882, 738 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 882, 738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.