Highest Common Factor of 4779, 8236 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 4779, 8236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4779, 8236 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 4779, 8236 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 4779, 8236 is 1.
HCF(4779, 8236) = 1
HCF of 4779, 8236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4779, 8236 is 1.
Highest Common Factor of 4779,8236 is 1
Step 1: Since 8236 > 4779, we apply the division lemma to 8236 and 4779, to get
8236 = 4779 x 1 + 3457
Step 2: Since the reminder 4779 ≠ 0, we apply division lemma to 3457 and 4779, to get
4779 = 3457 x 1 + 1322
Step 3: We consider the new divisor 3457 and the new remainder 1322, and apply the division lemma to get
3457 = 1322 x 2 + 813
We consider the new divisor 1322 and the new remainder 813,and apply the division lemma to get
1322 = 813 x 1 + 509
We consider the new divisor 813 and the new remainder 509,and apply the division lemma to get
813 = 509 x 1 + 304
We consider the new divisor 509 and the new remainder 304,and apply the division lemma to get
509 = 304 x 1 + 205
We consider the new divisor 304 and the new remainder 205,and apply the division lemma to get
304 = 205 x 1 + 99
We consider the new divisor 205 and the new remainder 99,and apply the division lemma to get
205 = 99 x 2 + 7
We consider the new divisor 99 and the new remainder 7,and apply the division lemma to get
99 = 7 x 14 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4779 and 8236 is 1
Notice that 1 = HCF(7,1) = HCF(99,7) = HCF(205,99) = HCF(304,205) = HCF(509,304) = HCF(813,509) = HCF(1322,813) = HCF(3457,1322) = HCF(4779,3457) = HCF(8236,4779) .
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Frequently Asked Questions on HCF of 4779, 8236 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 4779, 8236?
Answer: HCF of 4779, 8236 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4779, 8236 using Euclid's Algorithm?
Answer: For arbitrary numbers 4779, 8236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.