Highest Common Factor of 8925, 7399 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 8925, 7399 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8925, 7399 is 7 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 8925, 7399 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 8925, 7399 is 7.
HCF(8925, 7399) = 7
HCF of 8925, 7399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8925, 7399 is 7.
Highest Common Factor of 8925,7399 is 7
Step 1: Since 8925 > 7399, we apply the division lemma to 8925 and 7399, to get
8925 = 7399 x 1 + 1526
Step 2: Since the reminder 7399 ≠ 0, we apply division lemma to 1526 and 7399, to get
7399 = 1526 x 4 + 1295
Step 3: We consider the new divisor 1526 and the new remainder 1295, and apply the division lemma to get
1526 = 1295 x 1 + 231
We consider the new divisor 1295 and the new remainder 231,and apply the division lemma to get
1295 = 231 x 5 + 140
We consider the new divisor 231 and the new remainder 140,and apply the division lemma to get
231 = 140 x 1 + 91
We consider the new divisor 140 and the new remainder 91,and apply the division lemma to get
140 = 91 x 1 + 49
We consider the new divisor 91 and the new remainder 49,and apply the division lemma to get
91 = 49 x 1 + 42
We consider the new divisor 49 and the new remainder 42,and apply the division lemma to get
49 = 42 x 1 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8925 and 7399 is 7
Notice that 7 = HCF(42,7) = HCF(49,42) = HCF(91,49) = HCF(140,91) = HCF(231,140) = HCF(1295,231) = HCF(1526,1295) = HCF(7399,1526) = HCF(8925,7399) .
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Frequently Asked Questions on HCF of 8925, 7399 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 8925, 7399?
Answer: HCF of 8925, 7399 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8925, 7399 using Euclid's Algorithm?
Answer: For arbitrary numbers 8925, 7399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
