Highest Common Factor of 546, 754, 592, 52 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, 754, 592, 52 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 546, 754, 592, 52 is 2 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, 754, 592, 52 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, 754, 592, 52 is 2.
HCF(546, 754, 592, 52) = 2
HCF of 546, 754, 592, 52 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, 754, 592, 52 is 2.
Highest Common Factor of 546,754,592,52 is 2
Step 1: Since 754 > 546, we apply the division lemma to 754 and 546, to get
754 = 546 x 1 + 208
Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 208 and 546, to get
546 = 208 x 2 + 130
Step 3: We consider the new divisor 208 and the new remainder 130, and apply the division lemma to get
208 = 130 x 1 + 78
We consider the new divisor 130 and the new remainder 78,and apply the division lemma to get
130 = 78 x 1 + 52
We consider the new divisor 78 and the new remainder 52,and apply the division lemma to get
78 = 52 x 1 + 26
We consider the new divisor 52 and the new remainder 26,and apply the division lemma to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 546 and 754 is 26
Notice that 26 = HCF(52,26) = HCF(78,52) = HCF(130,78) = HCF(208,130) = HCF(546,208) = HCF(754,546) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 592 > 26, we apply the division lemma to 592 and 26, to get
592 = 26 x 22 + 20
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 20 and 26, to get
26 = 20 x 1 + 6
Step 3: We consider the new divisor 20 and the new remainder 6, and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 26 and 592 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(592,26) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 2, we apply the division lemma to 52 and 2, to get
52 = 2 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 52 is 2
Notice that 2 = HCF(52,2) .
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Frequently Asked Questions on HCF of 546, 754, 592, 52 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, 754, 592, 52?
Answer: HCF of 546, 754, 592, 52 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 546, 754, 592, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 546, 754, 592, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
