Highest Common Factor of 7749, 1232 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 7749, 1232 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 7749, 1232 is 7 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 7749, 1232 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 7749, 1232 is 7.
HCF(7749, 1232) = 7
HCF of 7749, 1232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7749, 1232 is 7.
Highest Common Factor of 7749,1232 is 7
Step 1: Since 7749 > 1232, we apply the division lemma to 7749 and 1232, to get
7749 = 1232 x 6 + 357
Step 2: Since the reminder 1232 ≠ 0, we apply division lemma to 357 and 1232, to get
1232 = 357 x 3 + 161
Step 3: We consider the new divisor 357 and the new remainder 161, and apply the division lemma to get
357 = 161 x 2 + 35
We consider the new divisor 161 and the new remainder 35,and apply the division lemma to get
161 = 35 x 4 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7749 and 1232 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(161,35) = HCF(357,161) = HCF(1232,357) = HCF(7749,1232) .
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Frequently Asked Questions on HCF of 7749, 1232 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 7749, 1232?
Answer: HCF of 7749, 1232 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7749, 1232 using Euclid's Algorithm?
Answer: For arbitrary numbers 7749, 1232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.