Highest Common Factor of 8680, 5404 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 8680, 5404 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 8680, 5404 is 28 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 8680, 5404 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 8680, 5404 is 28.
HCF(8680, 5404) = 28
HCF of 8680, 5404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8680, 5404 is 28.
Highest Common Factor of 8680,5404 is 28
Step 1: Since 8680 > 5404, we apply the division lemma to 8680 and 5404, to get
8680 = 5404 x 1 + 3276
Step 2: Since the reminder 5404 ≠ 0, we apply division lemma to 3276 and 5404, to get
5404 = 3276 x 1 + 2128
Step 3: We consider the new divisor 3276 and the new remainder 2128, and apply the division lemma to get
3276 = 2128 x 1 + 1148
We consider the new divisor 2128 and the new remainder 1148,and apply the division lemma to get
2128 = 1148 x 1 + 980
We consider the new divisor 1148 and the new remainder 980,and apply the division lemma to get
1148 = 980 x 1 + 168
We consider the new divisor 980 and the new remainder 168,and apply the division lemma to get
980 = 168 x 5 + 140
We consider the new divisor 168 and the new remainder 140,and apply the division lemma to get
168 = 140 x 1 + 28
We consider the new divisor 140 and the new remainder 28,and apply the division lemma to get
140 = 28 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 8680 and 5404 is 28
Notice that 28 = HCF(140,28) = HCF(168,140) = HCF(980,168) = HCF(1148,980) = HCF(2128,1148) = HCF(3276,2128) = HCF(5404,3276) = HCF(8680,5404) .
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Frequently Asked Questions on HCF of 8680, 5404 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 8680, 5404?
Answer: HCF of 8680, 5404 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8680, 5404 using Euclid's Algorithm?
Answer: For arbitrary numbers 8680, 5404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.