Highest Common Factor of 825, 6910, 5547 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 825, 6910, 5547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 825, 6910, 5547 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 825, 6910, 5547 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 825, 6910, 5547 is 1.
HCF(825, 6910, 5547) = 1
HCF of 825, 6910, 5547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 825, 6910, 5547 is 1.
Highest Common Factor of 825,6910,5547 is 1
Step 1: Since 6910 > 825, we apply the division lemma to 6910 and 825, to get
6910 = 825 x 8 + 310
Step 2: Since the reminder 825 ≠ 0, we apply division lemma to 310 and 825, to get
825 = 310 x 2 + 205
Step 3: We consider the new divisor 310 and the new remainder 205, and apply the division lemma to get
310 = 205 x 1 + 105
We consider the new divisor 205 and the new remainder 105,and apply the division lemma to get
205 = 105 x 1 + 100
We consider the new divisor 105 and the new remainder 100,and apply the division lemma to get
105 = 100 x 1 + 5
We consider the new divisor 100 and the new remainder 5,and apply the division lemma to get
100 = 5 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 825 and 6910 is 5
Notice that 5 = HCF(100,5) = HCF(105,100) = HCF(205,105) = HCF(310,205) = HCF(825,310) = HCF(6910,825) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5547 > 5, we apply the division lemma to 5547 and 5, to get
5547 = 5 x 1109 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 5 and 5547 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(5547,5) .
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Frequently Asked Questions on HCF of 825, 6910, 5547 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 825, 6910, 5547?
Answer: HCF of 825, 6910, 5547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 825, 6910, 5547 using Euclid's Algorithm?
Answer: For arbitrary numbers 825, 6910, 5547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.