Highest Common Factor of 7276, 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 7276, 570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7276, 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 7276, 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 7276, 570 is 2.
HCF(7276, 570) = 2
HCF of 7276, 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 7276, 570 is 2.
Highest Common Factor of 7276,570 is 2
Step 1: Since 7276 > 570, we apply the division lemma to 7276 and 570, to get
7276 = 570 x 12 + 436
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 436 and 570, to get
570 = 436 x 1 + 134
Step 3: We consider the new divisor 436 and the new remainder 134, and apply the division lemma to get
436 = 134 x 3 + 34
We consider the new divisor 134 and the new remainder 34,and apply the division lemma to get
134 = 34 x 3 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7276 and 570 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(134,34) = HCF(436,134) = HCF(570,436) = HCF(7276,570) .
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Frequently Asked Questions on HCF of 7276, 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 7276, 570?
Answer: HCF of 7276, 570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7276, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 7276, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.