Highest Common Factor of 6685, 5096 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 6685, 5096 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 6685, 5096 is 7 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 6685, 5096 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 6685, 5096 is 7.
HCF(6685, 5096) = 7
HCF of 6685, 5096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6685, 5096 is 7.
Highest Common Factor of 6685,5096 is 7
Step 1: Since 6685 > 5096, we apply the division lemma to 6685 and 5096, to get
6685 = 5096 x 1 + 1589
Step 2: Since the reminder 5096 ≠ 0, we apply division lemma to 1589 and 5096, to get
5096 = 1589 x 3 + 329
Step 3: We consider the new divisor 1589 and the new remainder 329, and apply the division lemma to get
1589 = 329 x 4 + 273
We consider the new divisor 329 and the new remainder 273,and apply the division lemma to get
329 = 273 x 1 + 56
We consider the new divisor 273 and the new remainder 56,and apply the division lemma to get
273 = 56 x 4 + 49
We consider the new divisor 56 and the new remainder 49,and apply the division lemma to get
56 = 49 x 1 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6685 and 5096 is 7
Notice that 7 = HCF(49,7) = HCF(56,49) = HCF(273,56) = HCF(329,273) = HCF(1589,329) = HCF(5096,1589) = HCF(6685,5096) .
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Frequently Asked Questions on HCF of 6685, 5096 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 6685, 5096?
Answer: HCF of 6685, 5096 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6685, 5096 using Euclid's Algorithm?
Answer: For arbitrary numbers 6685, 5096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.