Highest Common Factor of 6788, 4616 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 6788, 4616 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6788, 4616 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 6788, 4616 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 6788, 4616 is 4.
HCF(6788, 4616) = 4
HCF of 6788, 4616 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6788, 4616 is 4.
Highest Common Factor of 6788,4616 is 4
Step 1: Since 6788 > 4616, we apply the division lemma to 6788 and 4616, to get
6788 = 4616 x 1 + 2172
Step 2: Since the reminder 4616 ≠ 0, we apply division lemma to 2172 and 4616, to get
4616 = 2172 x 2 + 272
Step 3: We consider the new divisor 2172 and the new remainder 272, and apply the division lemma to get
2172 = 272 x 7 + 268
We consider the new divisor 272 and the new remainder 268,and apply the division lemma to get
272 = 268 x 1 + 4
We consider the new divisor 268 and the new remainder 4,and apply the division lemma to get
268 = 4 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6788 and 4616 is 4
Notice that 4 = HCF(268,4) = HCF(272,268) = HCF(2172,272) = HCF(4616,2172) = HCF(6788,4616) .
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Frequently Asked Questions on HCF of 6788, 4616 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 6788, 4616?
Answer: HCF of 6788, 4616 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6788, 4616 using Euclid's Algorithm?
Answer: For arbitrary numbers 6788, 4616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
