Highest Common Factor of 6249, 7276 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 6249, 7276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6249, 7276 is 1 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 6249, 7276 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 6249, 7276 is 1.
HCF(6249, 7276) = 1
HCF of 6249, 7276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6249, 7276 is 1.
Highest Common Factor of 6249,7276 is 1
Step 1: Since 7276 > 6249, we apply the division lemma to 7276 and 6249, to get
7276 = 6249 x 1 + 1027
Step 2: Since the reminder 6249 ≠ 0, we apply division lemma to 1027 and 6249, to get
6249 = 1027 x 6 + 87
Step 3: We consider the new divisor 1027 and the new remainder 87, and apply the division lemma to get
1027 = 87 x 11 + 70
We consider the new divisor 87 and the new remainder 70,and apply the division lemma to get
87 = 70 x 1 + 17
We consider the new divisor 70 and the new remainder 17,and apply the division lemma to get
70 = 17 x 4 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6249 and 7276 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(70,17) = HCF(87,70) = HCF(1027,87) = HCF(6249,1027) = HCF(7276,6249) .
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Frequently Asked Questions on HCF of 6249, 7276 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 6249, 7276?
Answer: HCF of 6249, 7276 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6249, 7276 using Euclid's Algorithm?
Answer: For arbitrary numbers 6249, 7276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.