Highest Common Factor of 729, 386, 506, 977 using Euclid's algorithm
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 729, 386, 506, 977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 729, 386, 506, 977 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 729, 386, 506, 977 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 729, 386, 506, 977 is 1.
HCF(729, 386, 506, 977) = 1
HCF of 729, 386, 506, 977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 729, 386, 506, 977 is 1.
Highest Common Factor of 729,386,506,977 is 1
Step 1: Since 729 > 386, we apply the division lemma to 729 and 386, to get
729 = 386 x 1 + 343
Step 2: Since the reminder 386 ≠ 0, we apply division lemma to 343 and 386, to get
386 = 343 x 1 + 43
Step 3: We consider the new divisor 343 and the new remainder 43, and apply the division lemma to get
343 = 43 x 7 + 42
We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get
43 = 42 x 1 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 729 and 386 is 1
Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(343,43) = HCF(386,343) = HCF(729,386) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get
506 = 1 x 506 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1
Notice that 1 = HCF(506,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 977 > 1, we apply the division lemma to 977 and 1, to get
977 = 1 x 977 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 977 is 1
Notice that 1 = HCF(977,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 729, 386, 506, 977 using Euclid's Algorithm
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 729, 386, 506, 977?
Answer: HCF of 729, 386, 506, 977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 729, 386, 506, 977 using Euclid's Algorithm?
Answer: For arbitrary numbers 729, 386, 506, 977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.