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 7949, 9587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7949, 9587 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 7949, 9587 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 7949, 9587 is 1.
HCF(7949, 9587) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7949, 9587 is 1.
Step 1: Since 9587 > 7949, we apply the division lemma to 9587 and 7949, to get
9587 = 7949 x 1 + 1638
Step 2: Since the reminder 7949 ≠ 0, we apply division lemma to 1638 and 7949, to get
7949 = 1638 x 4 + 1397
Step 3: We consider the new divisor 1638 and the new remainder 1397, and apply the division lemma to get
1638 = 1397 x 1 + 241
We consider the new divisor 1397 and the new remainder 241,and apply the division lemma to get
1397 = 241 x 5 + 192
We consider the new divisor 241 and the new remainder 192,and apply the division lemma to get
241 = 192 x 1 + 49
We consider the new divisor 192 and the new remainder 49,and apply the division lemma to get
192 = 49 x 3 + 45
We consider the new divisor 49 and the new remainder 45,and apply the division lemma to get
49 = 45 x 1 + 4
We consider the new divisor 45 and the new remainder 4,and apply the division lemma to get
45 = 4 x 11 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7949 and 9587 is 1
Notice that 1 = HCF(4,1) = HCF(45,4) = HCF(49,45) = HCF(192,49) = HCF(241,192) = HCF(1397,241) = HCF(1638,1397) = HCF(7949,1638) = HCF(9587,7949) .
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 7949, 9587?
Answer: HCF of 7949, 9587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7949, 9587 using Euclid's Algorithm?
Answer: For arbitrary numbers 7949, 9587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.