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 7272, 5635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7272, 5635 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 7272, 5635 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 7272, 5635 is 1.
HCF(7272, 5635) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7272, 5635 is 1.
Step 1: Since 7272 > 5635, we apply the division lemma to 7272 and 5635, to get
7272 = 5635 x 1 + 1637
Step 2: Since the reminder 5635 ≠ 0, we apply division lemma to 1637 and 5635, to get
5635 = 1637 x 3 + 724
Step 3: We consider the new divisor 1637 and the new remainder 724, and apply the division lemma to get
1637 = 724 x 2 + 189
We consider the new divisor 724 and the new remainder 189,and apply the division lemma to get
724 = 189 x 3 + 157
We consider the new divisor 189 and the new remainder 157,and apply the division lemma to get
189 = 157 x 1 + 32
We consider the new divisor 157 and the new remainder 32,and apply the division lemma to get
157 = 32 x 4 + 29
We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get
32 = 29 x 1 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7272 and 5635 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(157,32) = HCF(189,157) = HCF(724,189) = HCF(1637,724) = HCF(5635,1637) = HCF(7272,5635) .
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 7272, 5635?
Answer: HCF of 7272, 5635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7272, 5635 using Euclid's Algorithm?
Answer: For arbitrary numbers 7272, 5635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.