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 6242, 8629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6242, 8629 is 1 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 6242, 8629 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 6242, 8629 is 1.
HCF(6242, 8629) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6242, 8629 is 1.
Step 1: Since 8629 > 6242, we apply the division lemma to 8629 and 6242, to get
8629 = 6242 x 1 + 2387
Step 2: Since the reminder 6242 ≠ 0, we apply division lemma to 2387 and 6242, to get
6242 = 2387 x 2 + 1468
Step 3: We consider the new divisor 2387 and the new remainder 1468, and apply the division lemma to get
2387 = 1468 x 1 + 919
We consider the new divisor 1468 and the new remainder 919,and apply the division lemma to get
1468 = 919 x 1 + 549
We consider the new divisor 919 and the new remainder 549,and apply the division lemma to get
919 = 549 x 1 + 370
We consider the new divisor 549 and the new remainder 370,and apply the division lemma to get
549 = 370 x 1 + 179
We consider the new divisor 370 and the new remainder 179,and apply the division lemma to get
370 = 179 x 2 + 12
We consider the new divisor 179 and the new remainder 12,and apply the division lemma to get
179 = 12 x 14 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6242 and 8629 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(179,12) = HCF(370,179) = HCF(549,370) = HCF(919,549) = HCF(1468,919) = HCF(2387,1468) = HCF(6242,2387) = HCF(8629,6242) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6242, 8629?
Answer: HCF of 6242, 8629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6242, 8629 using Euclid's Algorithm?
Answer: For arbitrary numbers 6242, 8629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.