Highest Common Factor of 8602, 4779 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 8602, 4779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8602, 4779 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 8602, 4779 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 8602, 4779 is 1.
HCF(8602, 4779) = 1
HCF of 8602, 4779 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8602, 4779 is 1.
Highest Common Factor of 8602,4779 is 1
Step 1: Since 8602 > 4779, we apply the division lemma to 8602 and 4779, to get
8602 = 4779 x 1 + 3823
Step 2: Since the reminder 4779 ≠ 0, we apply division lemma to 3823 and 4779, to get
4779 = 3823 x 1 + 956
Step 3: We consider the new divisor 3823 and the new remainder 956, and apply the division lemma to get
3823 = 956 x 3 + 955
We consider the new divisor 956 and the new remainder 955,and apply the division lemma to get
956 = 955 x 1 + 1
We consider the new divisor 955 and the new remainder 1,and apply the division lemma to get
955 = 1 x 955 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8602 and 4779 is 1
Notice that 1 = HCF(955,1) = HCF(956,955) = HCF(3823,956) = HCF(4779,3823) = HCF(8602,4779) .
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Frequently Asked Questions on HCF of 8602, 4779 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 8602, 4779?
Answer: HCF of 8602, 4779 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8602, 4779 using Euclid's Algorithm?
Answer: For arbitrary numbers 8602, 4779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.