Highest Common Factor of 899, 549, 754 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 899, 549, 754 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 549, 754 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 899, 549, 754 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 899, 549, 754 is 1.
HCF(899, 549, 754) = 1
HCF of 899, 549, 754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 549, 754 is 1.
Highest Common Factor of 899,549,754 is 1
Step 1: Since 899 > 549, we apply the division lemma to 899 and 549, to get
899 = 549 x 1 + 350
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 350 and 549, to get
549 = 350 x 1 + 199
Step 3: We consider the new divisor 350 and the new remainder 199, and apply the division lemma to get
350 = 199 x 1 + 151
We consider the new divisor 199 and the new remainder 151,and apply the division lemma to get
199 = 151 x 1 + 48
We consider the new divisor 151 and the new remainder 48,and apply the division lemma to get
151 = 48 x 3 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 899 and 549 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(151,48) = HCF(199,151) = HCF(350,199) = HCF(549,350) = HCF(899,549) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 754 > 1, we apply the division lemma to 754 and 1, to get
754 = 1 x 754 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 754 is 1
Notice that 1 = HCF(754,1) .
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Frequently Asked Questions on HCF of 899, 549, 754 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 899, 549, 754?
Answer: HCF of 899, 549, 754 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 549, 754 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 549, 754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.