Highest Common Factor of 6247, 7400 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 6247, 7400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6247, 7400 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 6247, 7400 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 6247, 7400 is 1.
HCF(6247, 7400) = 1
HCF of 6247, 7400 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6247, 7400 is 1.
Highest Common Factor of 6247,7400 is 1
Step 1: Since 7400 > 6247, we apply the division lemma to 7400 and 6247, to get
7400 = 6247 x 1 + 1153
Step 2: Since the reminder 6247 ≠ 0, we apply division lemma to 1153 and 6247, to get
6247 = 1153 x 5 + 482
Step 3: We consider the new divisor 1153 and the new remainder 482, and apply the division lemma to get
1153 = 482 x 2 + 189
We consider the new divisor 482 and the new remainder 189,and apply the division lemma to get
482 = 189 x 2 + 104
We consider the new divisor 189 and the new remainder 104,and apply the division lemma to get
189 = 104 x 1 + 85
We consider the new divisor 104 and the new remainder 85,and apply the division lemma to get
104 = 85 x 1 + 19
We consider the new divisor 85 and the new remainder 19,and apply the division lemma to get
85 = 19 x 4 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6247 and 7400 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(85,19) = HCF(104,85) = HCF(189,104) = HCF(482,189) = HCF(1153,482) = HCF(6247,1153) = HCF(7400,6247) .
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Frequently Asked Questions on HCF of 6247, 7400 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 6247, 7400?
Answer: HCF of 6247, 7400 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6247, 7400 using Euclid's Algorithm?
Answer: For arbitrary numbers 6247, 7400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
