Highest Common Factor of 4924, 8265 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 4924, 8265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4924, 8265 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 4924, 8265 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 4924, 8265 is 1.
HCF(4924, 8265) = 1
HCF of 4924, 8265 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4924, 8265 is 1.
Highest Common Factor of 4924,8265 is 1
Step 1: Since 8265 > 4924, we apply the division lemma to 8265 and 4924, to get
8265 = 4924 x 1 + 3341
Step 2: Since the reminder 4924 ≠ 0, we apply division lemma to 3341 and 4924, to get
4924 = 3341 x 1 + 1583
Step 3: We consider the new divisor 3341 and the new remainder 1583, and apply the division lemma to get
3341 = 1583 x 2 + 175
We consider the new divisor 1583 and the new remainder 175,and apply the division lemma to get
1583 = 175 x 9 + 8
We consider the new divisor 175 and the new remainder 8,and apply the division lemma to get
175 = 8 x 21 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 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 4924 and 8265 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(175,8) = HCF(1583,175) = HCF(3341,1583) = HCF(4924,3341) = HCF(8265,4924) .
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Frequently Asked Questions on HCF of 4924, 8265 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 4924, 8265?
Answer: HCF of 4924, 8265 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4924, 8265 using Euclid's Algorithm?
Answer: For arbitrary numbers 4924, 8265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.