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 9219, 7955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9219, 7955 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 9219, 7955 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 9219, 7955 is 1.
HCF(9219, 7955) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9219, 7955 is 1.
Step 1: Since 9219 > 7955, we apply the division lemma to 9219 and 7955, to get
9219 = 7955 x 1 + 1264
Step 2: Since the reminder 7955 ≠ 0, we apply division lemma to 1264 and 7955, to get
7955 = 1264 x 6 + 371
Step 3: We consider the new divisor 1264 and the new remainder 371, and apply the division lemma to get
1264 = 371 x 3 + 151
We consider the new divisor 371 and the new remainder 151,and apply the division lemma to get
371 = 151 x 2 + 69
We consider the new divisor 151 and the new remainder 69,and apply the division lemma to get
151 = 69 x 2 + 13
We consider the new divisor 69 and the new remainder 13,and apply the division lemma to get
69 = 13 x 5 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 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 9219 and 7955 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(69,13) = HCF(151,69) = HCF(371,151) = HCF(1264,371) = HCF(7955,1264) = HCF(9219,7955) .
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 9219, 7955?
Answer: HCF of 9219, 7955 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9219, 7955 using Euclid's Algorithm?
Answer: For arbitrary numbers 9219, 7955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.