Highest Common Factor of 6985, 4439 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 6985, 4439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6985, 4439 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 6985, 4439 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 6985, 4439 is 1.
HCF(6985, 4439) = 1
HCF of 6985, 4439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6985, 4439 is 1.
Highest Common Factor of 6985,4439 is 1
Step 1: Since 6985 > 4439, we apply the division lemma to 6985 and 4439, to get
6985 = 4439 x 1 + 2546
Step 2: Since the reminder 4439 ≠ 0, we apply division lemma to 2546 and 4439, to get
4439 = 2546 x 1 + 1893
Step 3: We consider the new divisor 2546 and the new remainder 1893, and apply the division lemma to get
2546 = 1893 x 1 + 653
We consider the new divisor 1893 and the new remainder 653,and apply the division lemma to get
1893 = 653 x 2 + 587
We consider the new divisor 653 and the new remainder 587,and apply the division lemma to get
653 = 587 x 1 + 66
We consider the new divisor 587 and the new remainder 66,and apply the division lemma to get
587 = 66 x 8 + 59
We consider the new divisor 66 and the new remainder 59,and apply the division lemma to get
66 = 59 x 1 + 7
We consider the new divisor 59 and the new remainder 7,and apply the division lemma to get
59 = 7 x 8 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6985 and 4439 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(59,7) = HCF(66,59) = HCF(587,66) = HCF(653,587) = HCF(1893,653) = HCF(2546,1893) = HCF(4439,2546) = HCF(6985,4439) .
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Frequently Asked Questions on HCF of 6985, 4439 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 6985, 4439?
Answer: HCF of 6985, 4439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6985, 4439 using Euclid's Algorithm?
Answer: For arbitrary numbers 6985, 4439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.