Highest Common Factor of 4245, 6725 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 4245, 6725 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4245, 6725 is 5 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 4245, 6725 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 4245, 6725 is 5.
HCF(4245, 6725) = 5
HCF of 4245, 6725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4245, 6725 is 5.
Highest Common Factor of 4245,6725 is 5
Step 1: Since 6725 > 4245, we apply the division lemma to 6725 and 4245, to get
6725 = 4245 x 1 + 2480
Step 2: Since the reminder 4245 ≠ 0, we apply division lemma to 2480 and 4245, to get
4245 = 2480 x 1 + 1765
Step 3: We consider the new divisor 2480 and the new remainder 1765, and apply the division lemma to get
2480 = 1765 x 1 + 715
We consider the new divisor 1765 and the new remainder 715,and apply the division lemma to get
1765 = 715 x 2 + 335
We consider the new divisor 715 and the new remainder 335,and apply the division lemma to get
715 = 335 x 2 + 45
We consider the new divisor 335 and the new remainder 45,and apply the division lemma to get
335 = 45 x 7 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4245 and 6725 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(335,45) = HCF(715,335) = HCF(1765,715) = HCF(2480,1765) = HCF(4245,2480) = HCF(6725,4245) .
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Frequently Asked Questions on HCF of 4245, 6725 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 4245, 6725?
Answer: HCF of 4245, 6725 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4245, 6725 using Euclid's Algorithm?
Answer: For arbitrary numbers 4245, 6725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.