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 740, 7192 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 740, 7192 is 4 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 740, 7192 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 740, 7192 is 4.
HCF(740, 7192) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 740, 7192 is 4.
Step 1: Since 7192 > 740, we apply the division lemma to 7192 and 740, to get
7192 = 740 x 9 + 532
Step 2: Since the reminder 740 ≠ 0, we apply division lemma to 532 and 740, to get
740 = 532 x 1 + 208
Step 3: We consider the new divisor 532 and the new remainder 208, and apply the division lemma to get
532 = 208 x 2 + 116
We consider the new divisor 208 and the new remainder 116,and apply the division lemma to get
208 = 116 x 1 + 92
We consider the new divisor 116 and the new remainder 92,and apply the division lemma to get
116 = 92 x 1 + 24
We consider the new divisor 92 and the new remainder 24,and apply the division lemma to get
92 = 24 x 3 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 740 and 7192 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(92,24) = HCF(116,92) = HCF(208,116) = HCF(532,208) = HCF(740,532) = HCF(7192,740) .
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 740, 7192?
Answer: HCF of 740, 7192 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 740, 7192 using Euclid's Algorithm?
Answer: For arbitrary numbers 740, 7192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.