Highest Common Factor of 848, 7426 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 848, 7426 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 7426 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 848, 7426 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 848, 7426 is 2.
HCF(848, 7426) = 2
HCF of 848, 7426 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 7426 is 2.
Highest Common Factor of 848,7426 is 2
Step 1: Since 7426 > 848, we apply the division lemma to 7426 and 848, to get
7426 = 848 x 8 + 642
Step 2: Since the reminder 848 ≠ 0, we apply division lemma to 642 and 848, to get
848 = 642 x 1 + 206
Step 3: We consider the new divisor 642 and the new remainder 206, and apply the division lemma to get
642 = 206 x 3 + 24
We consider the new divisor 206 and the new remainder 24,and apply the division lemma to get
206 = 24 x 8 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 848 and 7426 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(206,24) = HCF(642,206) = HCF(848,642) = HCF(7426,848) .
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Frequently Asked Questions on HCF of 848, 7426 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 848, 7426?
Answer: HCF of 848, 7426 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 7426 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 7426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.