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 7343, 6265 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 7343, 6265 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 7343, 6265 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 7343, 6265 is 7.
HCF(7343, 6265) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7343, 6265 is 7.
Step 1: Since 7343 > 6265, we apply the division lemma to 7343 and 6265, to get
7343 = 6265 x 1 + 1078
Step 2: Since the reminder 6265 ≠ 0, we apply division lemma to 1078 and 6265, to get
6265 = 1078 x 5 + 875
Step 3: We consider the new divisor 1078 and the new remainder 875, and apply the division lemma to get
1078 = 875 x 1 + 203
We consider the new divisor 875 and the new remainder 203,and apply the division lemma to get
875 = 203 x 4 + 63
We consider the new divisor 203 and the new remainder 63,and apply the division lemma to get
203 = 63 x 3 + 14
We consider the new divisor 63 and the new remainder 14,and apply the division lemma to get
63 = 14 x 4 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7343 and 6265 is 7
Notice that 7 = HCF(14,7) = HCF(63,14) = HCF(203,63) = HCF(875,203) = HCF(1078,875) = HCF(6265,1078) = HCF(7343,6265) .
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 7343, 6265?
Answer: HCF of 7343, 6265 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7343, 6265 using Euclid's Algorithm?
Answer: For arbitrary numbers 7343, 6265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.