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 8229, 7474 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8229, 7474 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 8229, 7474 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 8229, 7474 is 1.
HCF(8229, 7474) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8229, 7474 is 1.
Step 1: Since 8229 > 7474, we apply the division lemma to 8229 and 7474, to get
8229 = 7474 x 1 + 755
Step 2: Since the reminder 7474 ≠ 0, we apply division lemma to 755 and 7474, to get
7474 = 755 x 9 + 679
Step 3: We consider the new divisor 755 and the new remainder 679, and apply the division lemma to get
755 = 679 x 1 + 76
We consider the new divisor 679 and the new remainder 76,and apply the division lemma to get
679 = 76 x 8 + 71
We consider the new divisor 76 and the new remainder 71,and apply the division lemma to get
76 = 71 x 1 + 5
We consider the new divisor 71 and the new remainder 5,and apply the division lemma to get
71 = 5 x 14 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8229 and 7474 is 1
Notice that 1 = HCF(5,1) = HCF(71,5) = HCF(76,71) = HCF(679,76) = HCF(755,679) = HCF(7474,755) = HCF(8229,7474) .
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 8229, 7474?
Answer: HCF of 8229, 7474 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8229, 7474 using Euclid's Algorithm?
Answer: For arbitrary numbers 8229, 7474 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.