Highest Common Factor of 722, 972, 570 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 722, 972, 570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 722, 972, 570 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 722, 972, 570 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 722, 972, 570 is 2.
HCF(722, 972, 570) = 2
HCF of 722, 972, 570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 722, 972, 570 is 2.
Highest Common Factor of 722,972,570 is 2
Step 1: Since 972 > 722, we apply the division lemma to 972 and 722, to get
972 = 722 x 1 + 250
Step 2: Since the reminder 722 ≠ 0, we apply division lemma to 250 and 722, to get
722 = 250 x 2 + 222
Step 3: We consider the new divisor 250 and the new remainder 222, and apply the division lemma to get
250 = 222 x 1 + 28
We consider the new divisor 222 and the new remainder 28,and apply the division lemma to get
222 = 28 x 7 + 26
We consider the new divisor 28 and the new remainder 26,and apply the division lemma to get
28 = 26 x 1 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 722 and 972 is 2
Notice that 2 = HCF(26,2) = HCF(28,26) = HCF(222,28) = HCF(250,222) = HCF(722,250) = HCF(972,722) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 570 > 2, we apply the division lemma to 570 and 2, to get
570 = 2 x 285 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 570 is 2
Notice that 2 = HCF(570,2) .
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Frequently Asked Questions on HCF of 722, 972, 570 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 722, 972, 570?
Answer: HCF of 722, 972, 570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 722, 972, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 722, 972, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.