Highest Common Factor of 6248, 8506 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 6248, 8506 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6248, 8506 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 6248, 8506 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 6248, 8506 is 2.
HCF(6248, 8506) = 2
HCF of 6248, 8506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6248, 8506 is 2.
Highest Common Factor of 6248,8506 is 2
Step 1: Since 8506 > 6248, we apply the division lemma to 8506 and 6248, to get
8506 = 6248 x 1 + 2258
Step 2: Since the reminder 6248 ≠ 0, we apply division lemma to 2258 and 6248, to get
6248 = 2258 x 2 + 1732
Step 3: We consider the new divisor 2258 and the new remainder 1732, and apply the division lemma to get
2258 = 1732 x 1 + 526
We consider the new divisor 1732 and the new remainder 526,and apply the division lemma to get
1732 = 526 x 3 + 154
We consider the new divisor 526 and the new remainder 154,and apply the division lemma to get
526 = 154 x 3 + 64
We consider the new divisor 154 and the new remainder 64,and apply the division lemma to get
154 = 64 x 2 + 26
We consider the new divisor 64 and the new remainder 26,and apply the division lemma to get
64 = 26 x 2 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6248 and 8506 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(64,26) = HCF(154,64) = HCF(526,154) = HCF(1732,526) = HCF(2258,1732) = HCF(6248,2258) = HCF(8506,6248) .
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Frequently Asked Questions on HCF of 6248, 8506 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 6248, 8506?
Answer: HCF of 6248, 8506 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6248, 8506 using Euclid's Algorithm?
Answer: For arbitrary numbers 6248, 8506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.