Highest Common Factor of 547, 831, 358, 10 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 547, 831, 358, 10 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 547, 831, 358, 10 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 547, 831, 358, 10 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 547, 831, 358, 10 is 1.
HCF(547, 831, 358, 10) = 1
HCF of 547, 831, 358, 10 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 547, 831, 358, 10 is 1.
Highest Common Factor of 547,831,358,10 is 1
Step 1: Since 831 > 547, we apply the division lemma to 831 and 547, to get
831 = 547 x 1 + 284
Step 2: Since the reminder 547 ≠ 0, we apply division lemma to 284 and 547, to get
547 = 284 x 1 + 263
Step 3: We consider the new divisor 284 and the new remainder 263, and apply the division lemma to get
284 = 263 x 1 + 21
We consider the new divisor 263 and the new remainder 21,and apply the division lemma to get
263 = 21 x 12 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 547 and 831 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(263,21) = HCF(284,263) = HCF(547,284) = HCF(831,547) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 358 > 1, we apply the division lemma to 358 and 1, to get
358 = 1 x 358 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 358 is 1
Notice that 1 = HCF(358,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10 > 1, we apply the division lemma to 10 and 1, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10 is 1
Notice that 1 = HCF(10,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 547, 831, 358, 10 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 547, 831, 358, 10?
Answer: HCF of 547, 831, 358, 10 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 547, 831, 358, 10 using Euclid's Algorithm?
Answer: For arbitrary numbers 547, 831, 358, 10 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.