Highest Common Factor of 546, 490, 253, 45 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 546, 490, 253, 45 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 546, 490, 253, 45 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 546, 490, 253, 45 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 546, 490, 253, 45 is 1.
HCF(546, 490, 253, 45) = 1
HCF of 546, 490, 253, 45 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 546, 490, 253, 45 is 1.
Highest Common Factor of 546,490,253,45 is 1
Step 1: Since 546 > 490, we apply the division lemma to 546 and 490, to get
546 = 490 x 1 + 56
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 56 and 490, to get
490 = 56 x 8 + 42
Step 3: We consider the new divisor 56 and the new remainder 42, and apply the division lemma to get
56 = 42 x 1 + 14
We consider the new divisor 42 and the new remainder 14, and apply the division lemma to get
42 = 14 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 546 and 490 is 14
Notice that 14 = HCF(42,14) = HCF(56,42) = HCF(490,56) = HCF(546,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 253 > 14, we apply the division lemma to 253 and 14, to get
253 = 14 x 18 + 1
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 253 is 1
Notice that 1 = HCF(14,1) = HCF(253,14) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45 > 1, we apply the division lemma to 45 and 1, to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45 is 1
Notice that 1 = HCF(45,1) .
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Frequently Asked Questions on HCF of 546, 490, 253, 45 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 546, 490, 253, 45?
Answer: HCF of 546, 490, 253, 45 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 546, 490, 253, 45 using Euclid's Algorithm?
Answer: For arbitrary numbers 546, 490, 253, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.