Highest Common Factor of 249, 891 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 249, 891 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 249, 891 is 3 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 249, 891 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 249, 891 is 3.
HCF(249, 891) = 3
HCF of 249, 891 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 249, 891 is 3.
Highest Common Factor of 249,891 is 3
Step 1: Since 891 > 249, we apply the division lemma to 891 and 249, to get
891 = 249 x 3 + 144
Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 144 and 249, to get
249 = 144 x 1 + 105
Step 3: We consider the new divisor 144 and the new remainder 105, and apply the division lemma to get
144 = 105 x 1 + 39
We consider the new divisor 105 and the new remainder 39,and apply the division lemma to get
105 = 39 x 2 + 27
We consider the new divisor 39 and the new remainder 27,and apply the division lemma to get
39 = 27 x 1 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 249 and 891 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(39,27) = HCF(105,39) = HCF(144,105) = HCF(249,144) = HCF(891,249) .
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Frequently Asked Questions on HCF of 249, 891 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 249, 891?
Answer: HCF of 249, 891 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 249, 891 using Euclid's Algorithm?
Answer: For arbitrary numbers 249, 891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
