Highest Common Factor of 572, 807, 649, 63 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 572, 807, 649, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 807, 649, 63 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 572, 807, 649, 63 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 572, 807, 649, 63 is 1.
HCF(572, 807, 649, 63) = 1
HCF of 572, 807, 649, 63 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 807, 649, 63 is 1.
Highest Common Factor of 572,807,649,63 is 1
Step 1: Since 807 > 572, we apply the division lemma to 807 and 572, to get
807 = 572 x 1 + 235
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 235 and 572, to get
572 = 235 x 2 + 102
Step 3: We consider the new divisor 235 and the new remainder 102, and apply the division lemma to get
235 = 102 x 2 + 31
We consider the new divisor 102 and the new remainder 31,and apply the division lemma to get
102 = 31 x 3 + 9
We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get
31 = 9 x 3 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 572 and 807 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(102,31) = HCF(235,102) = HCF(572,235) = HCF(807,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 649 > 1, we apply the division lemma to 649 and 1, to get
649 = 1 x 649 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 649 is 1
Notice that 1 = HCF(649,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1
Notice that 1 = HCF(63,1) .
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Frequently Asked Questions on HCF of 572, 807, 649, 63 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 572, 807, 649, 63?
Answer: HCF of 572, 807, 649, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 807, 649, 63 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 807, 649, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
