Highest Common Factor of 8536, 7258 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 8536, 7258 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8536, 7258 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 8536, 7258 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 8536, 7258 is 2.
HCF(8536, 7258) = 2
HCF of 8536, 7258 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8536, 7258 is 2.
Highest Common Factor of 8536,7258 is 2
Step 1: Since 8536 > 7258, we apply the division lemma to 8536 and 7258, to get
8536 = 7258 x 1 + 1278
Step 2: Since the reminder 7258 ≠ 0, we apply division lemma to 1278 and 7258, to get
7258 = 1278 x 5 + 868
Step 3: We consider the new divisor 1278 and the new remainder 868, and apply the division lemma to get
1278 = 868 x 1 + 410
We consider the new divisor 868 and the new remainder 410,and apply the division lemma to get
868 = 410 x 2 + 48
We consider the new divisor 410 and the new remainder 48,and apply the division lemma to get
410 = 48 x 8 + 26
We consider the new divisor 48 and the new remainder 26,and apply the division lemma to get
48 = 26 x 1 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8536 and 7258 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(48,26) = HCF(410,48) = HCF(868,410) = HCF(1278,868) = HCF(7258,1278) = HCF(8536,7258) .
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Frequently Asked Questions on HCF of 8536, 7258 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 8536, 7258?
Answer: HCF of 8536, 7258 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8536, 7258 using Euclid's Algorithm?
Answer: For arbitrary numbers 8536, 7258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.