Highest Common Factor of 496, 189, 350, 325 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 496, 189, 350, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 189, 350, 325 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 496, 189, 350, 325 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 496, 189, 350, 325 is 1.
HCF(496, 189, 350, 325) = 1
HCF of 496, 189, 350, 325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 189, 350, 325 is 1.
Highest Common Factor of 496,189,350,325 is 1
Step 1: Since 496 > 189, we apply the division lemma to 496 and 189, to get
496 = 189 x 2 + 118
Step 2: Since the reminder 189 ≠ 0, we apply division lemma to 118 and 189, to get
189 = 118 x 1 + 71
Step 3: We consider the new divisor 118 and the new remainder 71, and apply the division lemma to get
118 = 71 x 1 + 47
We consider the new divisor 71 and the new remainder 47,and apply the division lemma to get
71 = 47 x 1 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 496 and 189 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(71,47) = HCF(118,71) = HCF(189,118) = HCF(496,189) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 1, we apply the division lemma to 350 and 1, to get
350 = 1 x 350 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 350 is 1
Notice that 1 = HCF(350,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 1, we apply the division lemma to 325 and 1, to get
325 = 1 x 325 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 325 is 1
Notice that 1 = HCF(325,1) .
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Frequently Asked Questions on HCF of 496, 189, 350, 325 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 496, 189, 350, 325?
Answer: HCF of 496, 189, 350, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 189, 350, 325 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 189, 350, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.