Highest Common Factor of 8725, 4988 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 8725, 4988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8725, 4988 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 8725, 4988 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 8725, 4988 is 1.
HCF(8725, 4988) = 1
HCF of 8725, 4988 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8725, 4988 is 1.
Highest Common Factor of 8725,4988 is 1
Step 1: Since 8725 > 4988, we apply the division lemma to 8725 and 4988, to get
8725 = 4988 x 1 + 3737
Step 2: Since the reminder 4988 ≠ 0, we apply division lemma to 3737 and 4988, to get
4988 = 3737 x 1 + 1251
Step 3: We consider the new divisor 3737 and the new remainder 1251, and apply the division lemma to get
3737 = 1251 x 2 + 1235
We consider the new divisor 1251 and the new remainder 1235,and apply the division lemma to get
1251 = 1235 x 1 + 16
We consider the new divisor 1235 and the new remainder 16,and apply the division lemma to get
1235 = 16 x 77 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8725 and 4988 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(1235,16) = HCF(1251,1235) = HCF(3737,1251) = HCF(4988,3737) = HCF(8725,4988) .
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Frequently Asked Questions on HCF of 8725, 4988 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 8725, 4988?
Answer: HCF of 8725, 4988 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8725, 4988 using Euclid's Algorithm?
Answer: For arbitrary numbers 8725, 4988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.