Highest Common Factor of 7911, 4422 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 7911, 4422 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7911, 4422 is 3 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 7911, 4422 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 7911, 4422 is 3.
HCF(7911, 4422) = 3
HCF of 7911, 4422 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7911, 4422 is 3.
Highest Common Factor of 7911,4422 is 3
Step 1: Since 7911 > 4422, we apply the division lemma to 7911 and 4422, to get
7911 = 4422 x 1 + 3489
Step 2: Since the reminder 4422 ≠ 0, we apply division lemma to 3489 and 4422, to get
4422 = 3489 x 1 + 933
Step 3: We consider the new divisor 3489 and the new remainder 933, and apply the division lemma to get
3489 = 933 x 3 + 690
We consider the new divisor 933 and the new remainder 690,and apply the division lemma to get
933 = 690 x 1 + 243
We consider the new divisor 690 and the new remainder 243,and apply the division lemma to get
690 = 243 x 2 + 204
We consider the new divisor 243 and the new remainder 204,and apply the division lemma to get
243 = 204 x 1 + 39
We consider the new divisor 204 and the new remainder 39,and apply the division lemma to get
204 = 39 x 5 + 9
We consider the new divisor 39 and the new remainder 9,and apply the division lemma to get
39 = 9 x 4 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7911 and 4422 is 3
Notice that 3 = HCF(9,3) = HCF(39,9) = HCF(204,39) = HCF(243,204) = HCF(690,243) = HCF(933,690) = HCF(3489,933) = HCF(4422,3489) = HCF(7911,4422) .
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Frequently Asked Questions on HCF of 7911, 4422 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 7911, 4422?
Answer: HCF of 7911, 4422 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7911, 4422 using Euclid's Algorithm?
Answer: For arbitrary numbers 7911, 4422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.