Highest Common Factor of 498, 745, 549, 60 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 498, 745, 549, 60 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 498, 745, 549, 60 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 498, 745, 549, 60 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 498, 745, 549, 60 is 1.
HCF(498, 745, 549, 60) = 1
HCF of 498, 745, 549, 60 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 498, 745, 549, 60 is 1.
Highest Common Factor of 498,745,549,60 is 1
Step 1: Since 745 > 498, we apply the division lemma to 745 and 498, to get
745 = 498 x 1 + 247
Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 247 and 498, to get
498 = 247 x 2 + 4
Step 3: We consider the new divisor 247 and the new remainder 4, and apply the division lemma to get
247 = 4 x 61 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 498 and 745 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(247,4) = HCF(498,247) = HCF(745,498) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 549 > 1, we apply the division lemma to 549 and 1, to get
549 = 1 x 549 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 549 is 1
Notice that 1 = HCF(549,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
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Frequently Asked Questions on HCF of 498, 745, 549, 60 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 498, 745, 549, 60?
Answer: HCF of 498, 745, 549, 60 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 498, 745, 549, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 498, 745, 549, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.