Highest Common Factor of 8570, 7444 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 8570, 7444 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8570, 7444 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 8570, 7444 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 8570, 7444 is 2.
HCF(8570, 7444) = 2
HCF of 8570, 7444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8570, 7444 is 2.
Highest Common Factor of 8570,7444 is 2
Step 1: Since 8570 > 7444, we apply the division lemma to 8570 and 7444, to get
8570 = 7444 x 1 + 1126
Step 2: Since the reminder 7444 ≠ 0, we apply division lemma to 1126 and 7444, to get
7444 = 1126 x 6 + 688
Step 3: We consider the new divisor 1126 and the new remainder 688, and apply the division lemma to get
1126 = 688 x 1 + 438
We consider the new divisor 688 and the new remainder 438,and apply the division lemma to get
688 = 438 x 1 + 250
We consider the new divisor 438 and the new remainder 250,and apply the division lemma to get
438 = 250 x 1 + 188
We consider the new divisor 250 and the new remainder 188,and apply the division lemma to get
250 = 188 x 1 + 62
We consider the new divisor 188 and the new remainder 62,and apply the division lemma to get
188 = 62 x 3 + 2
We consider the new divisor 62 and the new remainder 2,and apply the division lemma to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8570 and 7444 is 2
Notice that 2 = HCF(62,2) = HCF(188,62) = HCF(250,188) = HCF(438,250) = HCF(688,438) = HCF(1126,688) = HCF(7444,1126) = HCF(8570,7444) .
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Frequently Asked Questions on HCF of 8570, 7444 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 8570, 7444?
Answer: HCF of 8570, 7444 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8570, 7444 using Euclid's Algorithm?
Answer: For arbitrary numbers 8570, 7444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.