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 529, 877, 767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 529, 877, 767 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 529, 877, 767 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 529, 877, 767 is 1.
HCF(529, 877, 767) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 529, 877, 767 is 1.
Step 1: Since 877 > 529, we apply the division lemma to 877 and 529, to get
877 = 529 x 1 + 348
Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 348 and 529, to get
529 = 348 x 1 + 181
Step 3: We consider the new divisor 348 and the new remainder 181, and apply the division lemma to get
348 = 181 x 1 + 167
We consider the new divisor 181 and the new remainder 167,and apply the division lemma to get
181 = 167 x 1 + 14
We consider the new divisor 167 and the new remainder 14,and apply the division lemma to get
167 = 14 x 11 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 529 and 877 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(167,14) = HCF(181,167) = HCF(348,181) = HCF(529,348) = HCF(877,529) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 767 > 1, we apply the division lemma to 767 and 1, to get
767 = 1 x 767 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 767 is 1
Notice that 1 = HCF(767,1) .
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 529, 877, 767?
Answer: HCF of 529, 877, 767 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 529, 877, 767 using Euclid's Algorithm?
Answer: For arbitrary numbers 529, 877, 767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.