Highest Common Factor of 911, 7872 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 911, 7872 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 7872 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 911, 7872 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 911, 7872 is 1.
HCF(911, 7872) = 1
HCF of 911, 7872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 7872 is 1.
Highest Common Factor of 911,7872 is 1
Step 1: Since 7872 > 911, we apply the division lemma to 7872 and 911, to get
7872 = 911 x 8 + 584
Step 2: Since the reminder 911 ≠ 0, we apply division lemma to 584 and 911, to get
911 = 584 x 1 + 327
Step 3: We consider the new divisor 584 and the new remainder 327, and apply the division lemma to get
584 = 327 x 1 + 257
We consider the new divisor 327 and the new remainder 257,and apply the division lemma to get
327 = 257 x 1 + 70
We consider the new divisor 257 and the new remainder 70,and apply the division lemma to get
257 = 70 x 3 + 47
We consider the new divisor 70 and the new remainder 47,and apply the division lemma to get
70 = 47 x 1 + 23
We consider the new divisor 47 and the new remainder 23,and apply the division lemma to get
47 = 23 x 2 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 7872 is 1
Notice that 1 = HCF(23,1) = HCF(47,23) = HCF(70,47) = HCF(257,70) = HCF(327,257) = HCF(584,327) = HCF(911,584) = HCF(7872,911) .
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Frequently Asked Questions on HCF of 911, 7872 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 911, 7872?
Answer: HCF of 911, 7872 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 7872 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 7872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.