Highest Common Factor of 6874, 4888 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 6874, 4888 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6874, 4888 is 2 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 6874, 4888 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 6874, 4888 is 2.
HCF(6874, 4888) = 2
HCF of 6874, 4888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6874, 4888 is 2.
Highest Common Factor of 6874,4888 is 2
Step 1: Since 6874 > 4888, we apply the division lemma to 6874 and 4888, to get
6874 = 4888 x 1 + 1986
Step 2: Since the reminder 4888 ≠ 0, we apply division lemma to 1986 and 4888, to get
4888 = 1986 x 2 + 916
Step 3: We consider the new divisor 1986 and the new remainder 916, and apply the division lemma to get
1986 = 916 x 2 + 154
We consider the new divisor 916 and the new remainder 154,and apply the division lemma to get
916 = 154 x 5 + 146
We consider the new divisor 154 and the new remainder 146,and apply the division lemma to get
154 = 146 x 1 + 8
We consider the new divisor 146 and the new remainder 8,and apply the division lemma to get
146 = 8 x 18 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6874 and 4888 is 2
Notice that 2 = HCF(8,2) = HCF(146,8) = HCF(154,146) = HCF(916,154) = HCF(1986,916) = HCF(4888,1986) = HCF(6874,4888) .
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Frequently Asked Questions on HCF of 6874, 4888 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 6874, 4888?
Answer: HCF of 6874, 4888 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6874, 4888 using Euclid's Algorithm?
Answer: For arbitrary numbers 6874, 4888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.