Highest Common Factor of 8548, 6872 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 8548, 6872 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8548, 6872 is 4 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 8548, 6872 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 8548, 6872 is 4.
HCF(8548, 6872) = 4
HCF of 8548, 6872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8548, 6872 is 4.
Highest Common Factor of 8548,6872 is 4
Step 1: Since 8548 > 6872, we apply the division lemma to 8548 and 6872, to get
8548 = 6872 x 1 + 1676
Step 2: Since the reminder 6872 ≠ 0, we apply division lemma to 1676 and 6872, to get
6872 = 1676 x 4 + 168
Step 3: We consider the new divisor 1676 and the new remainder 168, and apply the division lemma to get
1676 = 168 x 9 + 164
We consider the new divisor 168 and the new remainder 164,and apply the division lemma to get
168 = 164 x 1 + 4
We consider the new divisor 164 and the new remainder 4,and apply the division lemma to get
164 = 4 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8548 and 6872 is 4
Notice that 4 = HCF(164,4) = HCF(168,164) = HCF(1676,168) = HCF(6872,1676) = HCF(8548,6872) .
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Frequently Asked Questions on HCF of 8548, 6872 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 8548, 6872?
Answer: HCF of 8548, 6872 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8548, 6872 using Euclid's Algorithm?
Answer: For arbitrary numbers 8548, 6872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.