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 6260, 7009 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6260, 7009 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 6260, 7009 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 6260, 7009 is 1.
HCF(6260, 7009) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6260, 7009 is 1.
Step 1: Since 7009 > 6260, we apply the division lemma to 7009 and 6260, to get
7009 = 6260 x 1 + 749
Step 2: Since the reminder 6260 ≠ 0, we apply division lemma to 749 and 6260, to get
6260 = 749 x 8 + 268
Step 3: We consider the new divisor 749 and the new remainder 268, and apply the division lemma to get
749 = 268 x 2 + 213
We consider the new divisor 268 and the new remainder 213,and apply the division lemma to get
268 = 213 x 1 + 55
We consider the new divisor 213 and the new remainder 55,and apply the division lemma to get
213 = 55 x 3 + 48
We consider the new divisor 55 and the new remainder 48,and apply the division lemma to get
55 = 48 x 1 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6260 and 7009 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(55,48) = HCF(213,55) = HCF(268,213) = HCF(749,268) = HCF(6260,749) = HCF(7009,6260) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6260, 7009?
Answer: HCF of 6260, 7009 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6260, 7009 using Euclid's Algorithm?
Answer: For arbitrary numbers 6260, 7009 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.